*A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser.*

This is a classical definition of what is now commonly known as the golden ratio. Mathematically, this ratio is Φ:1, where Φ ≈ 1.61803 to five decimal places. Give the **square** of Φ to five decimal places. (No calculators!)

2.61803