Finding the Third Proportional to 219,469.50 and 329,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   219,469.50 : 329,096.25 = 329,096.25 : x
2. Step 2: Convert to fraction form
   219,469.50/329,096.25 = 329,096.25/x
3. Step 3: Cross multiply
   219,469.50x = 329,096.25 × 329,096.25
4. Step 4: Simplify right side
   219,469.50x = 108,304,341,764.06
5. Step 5: Solve for x
   x = 108,304,341,764.06/219,469.50
6. Step 6: Final answer
   x = 493,482.43