Thank you for all of your advice to answer a few things -
I have asked and asked if an affair occured before he asked for the first divorce. His story has always stayed the same...no. Every time he tells me that he did find himself attracted to someone and it freaked him out and thought that we needed to end things before something did happen with someone along the way..
The above quote is precisely the problem. If he was involved in an affair,(more than likely he was) it is doubtful that he would tell you the truth about it...and furthermore, he ends things with you just in case he is going to cheat??? Insead of behaving like a person in a committed relationship, he pushes you aside for what may seem like a better alternative.. That's a major red flag... Please don't make any decisions to get back involved with this man for a third time, before you actually get into some counseling to help you become healthier and make healthier choices. If he is serious this time, for the third time (and I have my doubts), the offer won't come off the table just because you take your time to make the decision that is in your best interest.
It sounds like he comes back to you whenever his affairs end..and don't trust his words, watch his actions. You are here questioning his motives because your instincts are probably telling you that something is wrong, yet again..listen and don't rush into another marriage with him.
It's your decison of course, however, this guy does not sound like he is ready for a committed relationship...despite the words he uses to get back in the door...his actions speak much louder than his words. You are worth more than being just a relationship of convenience for him. Marriage is not something you go in and out of like a revolving door.
Take care!