White to move. How can White save this game? How should White proceed? 
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I suggest:
1. f4+ Kxh5
2. Bf7+ g6
3. Rg8 followed by the unavoidable Bxg6#
Should not have any other refutable variations from Black, not that I can see any. Any other ideas?
YBN
1. Be4 w/ idea Rf5#
(1… g6 2. Bxg6 w/ additional possibility 3. f4#)
1 be4 kxh5
2rf5+ kg6
3.rf3+ kh5
4rc3+ kg5
5. f4+ kh5
6. g4 mate
Other idea:
1. f4+ Kxh5
2. Bf7+ g6
3. Bd5 g5
4. Bf7++
3. … a1=Q
4. Rf5+ gxf5
5. bf7++
3. … Rxg3+
4. Kxg3 nothing changing
but 3. Rg8 is quickest.
“Other idea:
1. f4+ Kxh5
2. Bf7+ g6
3. Bd5 g5
4. Bf7++”
is wrong for 3. … Nd4 -+
but
1. f4+ Kxh5
2. Bf7+ g6
3. Be6 is good
is interesting to see why it fails 3. Be8 :
1. f4+ Kxh5
2. Bf7+ g6
3. Be8? Nd4
4. Rf6 Rxg3+
5. Kxg3 Ne2+
6. Kh3 Kg1+ and draw !
Also,
1. f4+ Kxh5
2. Rf6 intending Bf7 and mate is inevitable.
1. f4+, kxh5
2. Bf7+, g6
3. Be8!
with the threat of 4.rf5+
don’t see a defense for black.
The solution that ybn suggests (3.Rg8) also works.
I think that this is mate in 3.
1. f4+ Kxh5
2. g4+ Kg6
3. Be4++
Oops! I wish I could take that post back. I forgot about the black rook on c3.
I’ll just slither on over the the tv set now.
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f4 kxh5
g4 g6
Be4++