Finding the Third Proportional to 152,685 and 224,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,685 : 224,437.50 = 224,437.50 : x
2. Step 2: Convert to fraction form
   152,685/224,437.50 = 224,437.50/x
3. Step 3: Cross multiply
   152,685x = 224,437.50 × 224,437.50
4. Step 4: Simplify right side
   152,685x = 50,372,191,406.25
5. Step 5: Solve for x
   x = 50,372,191,406.25/152,685
6. Step 6: Final answer
   x = 329,909.23