Finding the Third Proportional to 152,636 and 233,510

Step by Step Solution

1. Step 1: Write the proportion equation
   152,636 : 233,510 = 233,510 : x
2. Step 2: Convert to fraction form
   152,636/233,510 = 233,510/x
3. Step 3: Cross multiply
   152,636x = 233,510 × 233,510
4. Step 4: Simplify right side
   152,636x = 54,526,920,100
5. Step 5: Solve for x
   x = 54,526,920,100/152,636
6. Step 6: Final answer
   x = 357,234.99