Finding the Third Proportional to 102,398.50 and 224,479.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,398.50 : 224,479.50 = 224,479.50 : x
2. Step 2: Convert to fraction form
   102,398.50/224,479.50 = 224,479.50/x
3. Step 3: Cross multiply
   102,398.50x = 224,479.50 × 224,479.50
4. Step 4: Simplify right side
   102,398.50x = 50,391,045,920.25
5. Step 5: Solve for x
   x = 50,391,045,920.25/102,398.50
6. Step 6: Final answer
   x = 492,107.27