Finding the Third Proportional to 260,644 and 396,150

Step by Step Solution

1. Step 1: Write the proportion equation
   260,644 : 396,150 = 396,150 : x
2. Step 2: Convert to fraction form
   260,644/396,150 = 396,150/x
3. Step 3: Cross multiply
   260,644x = 396,150 × 396,150
4. Step 4: Simplify right side
   260,644x = 156,934,822,500
5. Step 5: Solve for x
   x = 156,934,822,500/260,644
6. Step 6: Final answer
   x = 602,104.11