Finding the Third Proportional to 333,892 and 517,040

Step by Step Solution

1. Step 1: Write the proportion equation
   333,892 : 517,040 = 517,040 : x
2. Step 2: Convert to fraction form
   333,892/517,040 = 517,040/x
3. Step 3: Cross multiply
   333,892x = 517,040 × 517,040
4. Step 4: Simplify right side
   333,892x = 267,330,361,600
5. Step 5: Solve for x
   x = 267,330,361,600/333,892
6. Step 6: Final answer
   x = 800,649.20