Finding the Third Proportional to 152,677.50 and 224,452.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,677.50 : 224,452.50 = 224,452.50 : x
2. Step 2: Convert to fraction form
   152,677.50/224,452.50 = 224,452.50/x
3. Step 3: Cross multiply
   152,677.50x = 224,452.50 × 224,452.50
4. Step 4: Simplify right side
   152,677.50x = 50,378,924,756.25
5. Step 5: Solve for x
   x = 50,378,924,756.25/152,677.50
6. Step 6: Final answer
   x = 329,969.54