Finding the Third Proportional to 331.80 and 712.27

Step by Step Solution

1. Step 1: Write the proportion equation
   331.80 : 712.27 = 712.27 : x
2. Step 2: Convert to fraction form
   331.80/712.27 = 712.27/x
3. Step 3: Cross multiply
   331.80x = 712.27 × 712.27
4. Step 4: Simplify right side
   331.80x = 507,322.32
5. Step 5: Solve for x
   x = 507,322.32/331.80
6. Step 6: Final answer
   x = 1,528.98