Finding the Third Proportional to 152,638 and 233,490

Step by Step Solution

1. Step 1: Write the proportion equation
   152,638 : 233,490 = 233,490 : x
2. Step 2: Convert to fraction form
   152,638/233,490 = 233,490/x
3. Step 3: Cross multiply
   152,638x = 233,490 × 233,490
4. Step 4: Simplify right side
   152,638x = 54,517,580,100
5. Step 5: Solve for x
   x = 54,517,580,100/152,638
6. Step 6: Final answer
   x = 357,169.12