Do runners at first and 3rd advance one base if a line drive is caught and in the process of doubling the runner off of first baseball is trown out of play?

if the run scores from third before the runner at 2nd is declared out the run stands if not then no run....i.e. in anything highschool level and under to little league a startegy its to get into a rundown in between 1st and 2nd allowing the runner from third to score