5.88 ml
First, write an equation to specify what you know.
17.0x = 0.200 * 0.500
Now solve for x. First, perform the multiplications.
17.0x = 0.1
Now divide both sides by 17
x = 0.005882
So you need 0.005882 liters of the 17.0 m stock solution. Convert to ml by multiplying by 1000 which is 5.882 ml.
Since you only have 3 significant figures, round the result to 3 figures, giving 5.88 ml