A question about CHUM

By feitianhou, in Android: Netrunner The Card Game

There are three ices has been installed.

The fisrt and the third ices has been rezed.And the first one is CHUM.

Then the runner make a run.He doesn't break CHUM.And Corp doesn't rez the second ice.

In this condition, does the third ice has the ability supplied by CHUM?

Yes, since that is the next ice encountered by the Runner.