Finding the Third Proportional to 268,042.50 and 416,766

Step by Step Solution

1. Step 1: Write the proportion equation
   268,042.50 : 416,766 = 416,766 : x
2. Step 2: Convert to fraction form
   268,042.50/416,766 = 416,766/x
3. Step 3: Cross multiply
   268,042.50x = 416,766 × 416,766
4. Step 4: Simplify right side
   268,042.50x = 173,693,898,756
5. Step 5: Solve for x
   x = 173,693,898,756/268,042.50
6. Step 6: Final answer
   x = 648,008.80