Finding the Third Proportional to 152,642 and 233,499

Step by Step Solution

1. Step 1: Write the proportion equation
   152,642 : 233,499 = 233,499 : x
2. Step 2: Convert to fraction form
   152,642/233,499 = 233,499/x
3. Step 3: Cross multiply
   152,642x = 233,499 × 233,499
4. Step 4: Simplify right side
   152,642x = 54,521,783,001
5. Step 5: Solve for x
   x = 54,521,783,001/152,642
6. Step 6: Final answer
   x = 357,187.29