Finding the Third Proportional to 261,058.50 and 415,398

Step by Step Solution

1. Step 1: Write the proportion equation
   261,058.50 : 415,398 = 415,398 : x
2. Step 2: Convert to fraction form
   261,058.50/415,398 = 415,398/x
3. Step 3: Cross multiply
   261,058.50x = 415,398 × 415,398
4. Step 4: Simplify right side
   261,058.50x = 172,555,498,404
5. Step 5: Solve for x
   x = 172,555,498,404/261,058.50
6. Step 6: Final answer
   x = 660,984.03