Finding the Third Proportional to 152,614 and 233,457

Step by Step Solution

1. Step 1: Write the proportion equation
   152,614 : 233,457 = 233,457 : x
2. Step 2: Convert to fraction form
   152,614/233,457 = 233,457/x
3. Step 3: Cross multiply
   152,614x = 233,457 × 233,457
4. Step 4: Simplify right side
   152,614x = 54,502,170,849
5. Step 5: Solve for x
   x = 54,502,170,849/152,614
6. Step 6: Final answer
   x = 357,124.32