Finding the Third Proportional to 457.31 and 727.31

Step by Step Solution

1. Step 1: Write the proportion equation
   457.31 : 727.31 = 727.31 : x
2. Step 2: Convert to fraction form
   457.31/727.31 = 727.31/x
3. Step 3: Cross multiply
   457.31x = 727.31 × 727.31
4. Step 4: Simplify right side
   457.31x = 528,983.47
5. Step 5: Solve for x
   x = 528,983.47/457.31
6. Step 6: Final answer
   x = 1,156.72