Finding the Third Proportional to 216,223.50 and 329,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,223.50 : 329,665.50 = 329,665.50 : x
2. Step 2: Convert to fraction form
   216,223.50/329,665.50 = 329,665.50/x
3. Step 3: Cross multiply
   216,223.50x = 329,665.50 × 329,665.50
4. Step 4: Simplify right side
   216,223.50x = 108,679,341,890.25
5. Step 5: Solve for x
   x = 108,679,341,890.25/216,223.50
6. Step 6: Final answer
   x = 502,625.02