Finding the Third Proportional to 457.31 and 709.59

Step by Step Solution

1. Step 1: Write the proportion equation
   457.31 : 709.59 = 709.59 : x
2. Step 2: Convert to fraction form
   457.31/709.59 = 709.59/x
3. Step 3: Cross multiply
   457.31x = 709.59 × 709.59
4. Step 4: Simplify right side
   457.31x = 503,523.29
5. Step 5: Solve for x
   x = 503,523.29/457.31
6. Step 6: Final answer
   x = 1,101.05