Finding the Third Proportional to 269,215.50 and 416,805

Step by Step Solution

1. Step 1: Write the proportion equation
   269,215.50 : 416,805 = 416,805 : x
2. Step 2: Convert to fraction form
   269,215.50/416,805 = 416,805/x
3. Step 3: Cross multiply
   269,215.50x = 416,805 × 416,805
4. Step 4: Simplify right side
   269,215.50x = 173,726,408,025
5. Step 5: Solve for x
   x = 173,726,408,025/269,215.50
6. Step 6: Final answer
   x = 645,306.11