Finding the Third Proportional to 502.88 and 597.38

Step by Step Solution

1. Step 1: Write the proportion equation
   502.88 : 597.38 = 597.38 : x
2. Step 2: Convert to fraction form
   502.88/597.38 = 597.38/x
3. Step 3: Cross multiply
   502.88x = 597.38 × 597.38
4. Step 4: Simplify right side
   502.88x = 356,856.89
5. Step 5: Solve for x
   x = 356,856.89/502.88
6. Step 6: Final answer
   x = 709.63