[ishakcks]

I need clarification on this:

2 out, a runner on third, 2 strikes on the batter.
Pitcher pitched a drop ball, batter swung and missed, the pitched ball dropped few inches behind the home plate, 1 bounce but was swiftly and firmly caught by the catcher.

Is it an automatic out for batter or does the catcher need to tag the batter or throw to first ?