Finding the Third Proportional to 502.03 and 772.59

Step by Step Solution

1. Step 1: Write the proportion equation
   502.03 : 772.59 = 772.59 : x
2. Step 2: Convert to fraction form
   502.03/772.59 = 772.59/x
3. Step 3: Cross multiply
   502.03x = 772.59 × 772.59
4. Step 4: Simplify right side
   502.03x = 596,901.10
5. Step 5: Solve for x
   x = 596,901.10/502.03
6. Step 6: Final answer
   x = 1,188.97