Finding the Third Proportional to 152,642 and 233,495

Step by Step Solution

1. Step 1: Write the proportion equation
   152,642 : 233,495 = 233,495 : x
2. Step 2: Convert to fraction form
   152,642/233,495 = 233,495/x
3. Step 3: Cross multiply
   152,642x = 233,495 × 233,495
4. Step 4: Simplify right side
   152,642x = 54,519,915,025
5. Step 5: Solve for x
   x = 54,519,915,025/152,642
6. Step 6: Final answer
   x = 357,175.06