Finding the Third Proportional to 327,466 and 489,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,466 : 489,176.50 = 489,176.50 : x
2. Step 2: Convert to fraction form
   327,466/489,176.50 = 489,176.50/x
3. Step 3: Cross multiply
   327,466x = 489,176.50 × 489,176.50
4. Step 4: Simplify right side
   327,466x = 239,293,648,152.25
5. Step 5: Solve for x
   x = 239,293,648,152.25/327,466
6. Step 6: Final answer
   x = 730,743.49