Finding the Third Proportional to 269,454 and 415,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,454 : 415,414.50 = 415,414.50 : x
2. Step 2: Convert to fraction form
   269,454/415,414.50 = 415,414.50/x
3. Step 3: Cross multiply
   269,454x = 415,414.50 × 415,414.50
4. Step 4: Simplify right side
   269,454x = 172,569,206,810.25
5. Step 5: Solve for x
   x = 172,569,206,810.25/269,454
6. Step 6: Final answer
   x = 640,440.32