Finding the Third Proportional to 152,664 and 233,529

Step by Step Solution

1. Step 1: Write the proportion equation
   152,664 : 233,529 = 233,529 : x
2. Step 2: Convert to fraction form
   152,664/233,529 = 233,529/x
3. Step 3: Cross multiply
   152,664x = 233,529 × 233,529
4. Step 4: Simplify right side
   152,664x = 54,535,793,841
5. Step 5: Solve for x
   x = 54,535,793,841/152,664
6. Step 6: Final answer
   x = 357,227.60