Glasgal, the time to be coy and wait for a proposal was probably before conceiving a child together and then jointly raising said child. Never mind that this way of thinking belongs somewhere in the first half of last century.
You seem to have some up side down view of a romantic proposal. Please, please, please - take control of the situation - why oh why women in this day and age still wait for men to ask them to marry them is just beyond me.
I'm pretty sure he has grasped the idea that you would quite like a shared life together. He is not in a hurry to get married. It is not pissing him off - it is pissing you off, so sort it out.
I am really really sorry to be the one to break this to you - you have fallen in love with a guy who has never dreamed of the moment he would ask his girl to marry him. It is not important to him, if it was - well - he would have asked you.
And if he has always dreamed of the moment of proposal but you just aren't the girl his dreams involved - well - wouldn't you rather know sooner rather than later?
And if statistics are influencing your decision - without the marriage you are more likely to split up.
Why don't you create the romantic moment but you do the asking - surely the romance lies in the love you share and the beauty of a joint commitment to a lifetime together through thick and thin.
Sorry for the rant - this is a personal bugbear of mine (if you hadn't already guessed).