Conditional Formula: to show values higher than two cells and if they are not blank

[Snowpear]

Hello,

Please help me. For some reason I cannot attach my file, so I will try to explain without it.
I need to highlight values in column C that are higher than either column A or B but only if column A or B have values.
Right now, this is my formula and it works partially. It highlights correctly with exception of third line, where my column A is blank. In this case C should not be highlighted because the value is smaller than B.
=OR($C170>$A170,$C170>$B170)

Is there any way to do this?

Example:

A B C
0.5 0.5 1
1 0.75 0.5
2 1

[etaf]

try

=OR(AND($C1>$A1,$A1<>""),AND($C1>$B1,$B1<>""))

[bebo021999]

Add 1 more condition :
=AND(OR($C170>$A170,$C170>$B170),COUNT($A170:$B170)=2)

[Snowpear]

It worked!!!!! Thank you both etaf and bebo02199. Both worked like magic!

[etaf]

each solution is different not the same result
mine gives true for below

bebo021999 is false

for example
A =2
B =Blank
C = 3

then its true as C is greater than A
but because B is blank did you want a false