Finding the Third Proportional to 152,643 and 224,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,643 : 224,389.50 = 224,389.50 : x
2. Step 2: Convert to fraction form
   152,643/224,389.50 = 224,389.50/x
3. Step 3: Cross multiply
   152,643x = 224,389.50 × 224,389.50
4. Step 4: Simplify right side
   152,643x = 50,350,647,710.25
5. Step 5: Solve for x
   x = 50,350,647,710.25/152,643
6. Step 6: Final answer
   x = 329,858.87