Finding the Third Proportional to 457,629.75 and 708,588

Step by Step Solution

1. Step 1: Write the proportion equation
   457,629.75 : 708,588 = 708,588 : x
2. Step 2: Convert to fraction form
   457,629.75/708,588 = 708,588/x
3. Step 3: Cross multiply
   457,629.75x = 708,588 × 708,588
4. Step 4: Simplify right side
   457,629.75x = 502,096,953,744
5. Step 5: Solve for x
   x = 502,096,953,744/457,629.75
6. Step 6: Final answer
   x = 1,097,168.52