Finding the Third Proportional to 152,636 and 233,511

Step by Step Solution

1. Step 1: Write the proportion equation
   152,636 : 233,511 = 233,511 : x
2. Step 2: Convert to fraction form
   152,636/233,511 = 233,511/x
3. Step 3: Cross multiply
   152,636x = 233,511 × 233,511
4. Step 4: Simplify right side
   152,636x = 54,527,387,121
5. Step 5: Solve for x
   x = 54,527,387,121/152,636
6. Step 6: Final answer
   x = 357,238.05