Finding the Third Proportional to 152,629 and 233,498

Step by Step Solution

1. Step 1: Write the proportion equation
   152,629 : 233,498 = 233,498 : x
2. Step 2: Convert to fraction form
   152,629/233,498 = 233,498/x
3. Step 3: Cross multiply
   152,629x = 233,498 × 233,498
4. Step 4: Simplify right side
   152,629x = 54,521,316,004
5. Step 5: Solve for x
   x = 54,521,316,004/152,629
6. Step 6: Final answer
   x = 357,214.66