Finding the Third Proportional to 327,409 and 489,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,409 : 489,096.50 = 489,096.50 : x
2. Step 2: Convert to fraction form
   327,409/489,096.50 = 489,096.50/x
3. Step 3: Cross multiply
   327,409x = 489,096.50 × 489,096.50
4. Step 4: Simplify right side
   327,409x = 239,215,386,312.25
5. Step 5: Solve for x
   x = 239,215,386,312.25/327,409
6. Step 6: Final answer
   x = 730,631.68