There are a lot of videos and instructions out there on what to do when you fall through ice: You turn the direction you came from, pull and kick until you get out and roll yourself to safety.
But what is the procedure, if you are in the middle of the lake, you break through, but the ice all around you is too thin and keeps breaking, when you try to pull yourself out of it.
What do you do in this situation? Just keep moving, trying to basically swim through the ice, while breaking it hoping to reach thicker ice or the shore? How long would you be able to keep that up?
Note: This question is about the specific situation, in which you can not climb back on to the ice, as it keeps breaking and you are far away from shore.