Finding the Third Proportional to 538.88 and 631.27

Step by Step Solution

1. Step 1: Write the proportion equation
   538.88 : 631.27 = 631.27 : x
2. Step 2: Convert to fraction form
   538.88/631.27 = 631.27/x
3. Step 3: Cross multiply
   538.88x = 631.27 × 631.27
4. Step 4: Simplify right side
   538.88x = 398,496.29
5. Step 5: Solve for x
   x = 398,496.29/538.88
6. Step 6: Final answer
   x = 739.50