Hi there Icandothis14,
Welcome to SI. I know the circumstances that brought you here suck but this is a great place to get advice and support from people who are walking the path of healing. Some of us are years out and reconciled and some like you are just stepping onto the path. Most are someplace in between.
You already got some good advice from foreverlabeled, particularly the notion of letting go of the outcome. Your relationship may or may not be salvageable, but you definitely are. I know your question is posed as "what can I do to prove my love to him" but I'm asking you to take a step back. There is nothing you can do to prove anything right now. Your actions over time have shown him that what is important to him is not safe with you. So your work, whether or not your marriage survives, is to transform yourself from someone who is a danger to someone who is safe. It takes a long time.
One of the best things I did soon after D-day was to start getting educated on the true nature of infidelity and how it impacts the people involved. Here's some reading that will get you up to speed:
1) The book "Not Just Friends" by Shirley Glass. It's a great general education about infidelity and how it impacts everyone involved. It will be particularly relevant to you since both of your affairs were with co-workers. Also explains how to affair proof yourself going forward.
2) The book "How to Help Your Spouse Heal from Your Affair" by Linda MacDonald. Don't skip this one if you want to reconcile. It's short enough to read in an afternoon and it lays out very clearly which actions on your part are likely to help reconciliation and which are likely to hinder it.
3) The post "Things Every WS Needs to Know" by HUFI-PUFI on this board. I'll bump it up to the top for you. Gives a realistic description of what your BS is likely to be experiencing now and some advice for how you can help them rather than make things worse. Also describes a realistic timeline for healing and what that might look like.
4) The Healing Library here on SI has many short writings on various aspects of infidelity, mostly from the BS's perspective. It helped me a lot to begin to understand what my BS might be going through.
Right now you're in panic mode. You want to keep your marriage and your family and those are powerful motivators for changing but I can tell you that the only motivation for changing that really works isn't you wanting the situation to be different than it is. It's wanting you to be different than you are right now and have likely been since before you ever cheated the first time. You're not unique in this. Just about every wayward who moves forward on the path of healing has to come to the realization that the scope of the problem is huge and it is going to take not just changing behaviors but changing ways of thinking to address it.
The good news is, it's doable and it's in your control to do it. There is a path and there are people already on it who can help you. And while you don't have to reinvent the wheel, you do have to push your own wheel barrow over what will prove to be some rough and at times mucky terrain. Read. Get yourself into IC. Start developing some tools for dealing with difficult feelings in ways that are wholesome rather than destructive.
Alright that's probably enough to get you going. Post here to ask questions or when you need support.
Proceed with conviction and valor.
Welcome to the path from a fellow EvolvingSoul.
[This message edited by EvolvingSoul at 5:12 PM, November 23rd (Friday)]