Finding the Third Proportional to 224,585.50 and 337,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,585.50 : 337,789.50 = 337,789.50 : x
2. Step 2: Convert to fraction form
   224,585.50/337,789.50 = 337,789.50/x
3. Step 3: Cross multiply
   224,585.50x = 337,789.50 × 337,789.50
4. Step 4: Simplify right side
   224,585.50x = 114,101,746,310.25
5. Step 5: Solve for x
   x = 114,101,746,310.25/224,585.50
6. Step 6: Final answer
   x = 508,054.82