Finding the Third Proportional to 152,650 and 233,508

Step by Step Solution

1. Step 1: Write the proportion equation
   152,650 : 233,508 = 233,508 : x
2. Step 2: Convert to fraction form
   152,650/233,508 = 233,508/x
3. Step 3: Cross multiply
   152,650x = 233,508 × 233,508
4. Step 4: Simplify right side
   152,650x = 54,525,986,064
5. Step 5: Solve for x
   x = 54,525,986,064/152,650
6. Step 6: Final answer
   x = 357,196.11