Finding the Third Proportional to 269,453 and 415,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,453 : 415,411.50 = 415,411.50 : x
2. Step 2: Convert to fraction form
   269,453/415,411.50 = 415,411.50/x
3. Step 3: Cross multiply
   269,453x = 415,411.50 × 415,411.50
4. Step 4: Simplify right side
   269,453x = 172,566,714,332.25
5. Step 5: Solve for x
   x = 172,566,714,332.25/269,453
6. Step 6: Final answer
   x = 640,433.45