Honestly, in my mind it only ever means to ask someone to marry you.
Perhaps people use that original meaning to suggest shyness about asking another question, "have you, 'popped' the question about if she's going to leave work or not??".
Meaning it's a moment of worry, maybe even could be sarcasm, as though you were supposed to be scared of someone but you weren't, "so did you pop the question to Lynn about her leaving work or not?",
But to me it means did you ask him/her to marry you.