Word for feeling extremely embarrassed for someone else [duplicate]

I am looking for a word that evokes embarrassment in oneself through others, for example, watching a really bad performance on stage, it might not necessarily involves the humiliation of one party in public, the party can also be oblivious to what he is doing, but evokes a sense of embarrassment upon observation by someone else.

Solution 1:

discomfit -

Make someone feel embarrassed

In this sense I like discomfited, though it of course it does not specifically mean for others.

Solution 2:

I have two words: empathetically embarrassed.

Sympathetically embarrassed doesn't quite express the situation precisely.

When I googled "empathetically embarrassed", it came up with Vicarious Embarrassment:

http://abcnews.go.com/Health/MindMoodNews/vicarious-embarrassment-awkward-moments-trigger-pain-centers-brain/story?id=13366555

and "The Opposite Of Schadenfreude: Vicarious Embarrassment":

http://www.npr.org/2014/07/19/332760081/the-opposite-of-schadenfreude-vicarious-embarrassment