Finding the Third Proportional to 269,451 and 415,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,451 : 415,408.50 = 415,408.50 : x
2. Step 2: Convert to fraction form
   269,451/415,408.50 = 415,408.50/x
3. Step 3: Cross multiply
   269,451x = 415,408.50 × 415,408.50
4. Step 4: Simplify right side
   269,451x = 172,564,221,872.25
5. Step 5: Solve for x
   x = 172,564,221,872.25/269,451
6. Step 6: Final answer
   x = 640,428.95