Finding the Third Proportional to 219,440 and 327,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,440 : 327,724.50 = 327,724.50 : x
2. Step 2: Convert to fraction form
   219,440/327,724.50 = 327,724.50/x
3. Step 3: Cross multiply
   219,440x = 327,724.50 × 327,724.50
4. Step 4: Simplify right side
   219,440x = 107,403,347,900.25
5. Step 5: Solve for x
   x = 107,403,347,900.25/219,440
6. Step 6: Final answer
   x = 489,442.89