Finding the Third Proportional to 402.47 and 487.69

Step by Step Solution

1. Step 1: Write the proportion equation
   402.47 : 487.69 = 487.69 : x
2. Step 2: Convert to fraction form
   402.47/487.69 = 487.69/x
3. Step 3: Cross multiply
   402.47x = 487.69 × 487.69
4. Step 4: Simplify right side
   402.47x = 237,839.10
5. Step 5: Solve for x
   x = 237,839.10/402.47
6. Step 6: Final answer
   x = 590.95