Finding the Third Proportional to 219,396 and 327,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,396 : 327,658.50 = 327,658.50 : x
2. Step 2: Convert to fraction form
   219,396/327,658.50 = 327,658.50/x
3. Step 3: Cross multiply
   219,396x = 327,658.50 × 327,658.50
4. Step 4: Simplify right side
   219,396x = 107,360,092,622.25
5. Step 5: Solve for x
   x = 107,360,092,622.25/219,396
6. Step 6: Final answer
   x = 489,343.89