Finding the Third Proportional to 412,831.13 and 853,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,831.13 : 853,978.50 = 853,978.50 : x
2. Step 2: Convert to fraction form
   412,831.13/853,978.50 = 853,978.50/x
3. Step 3: Cross multiply
   412,831.13x = 853,978.50 × 853,978.50
4. Step 4: Simplify right side
   412,831.13x = 729,279,278,462.25
5. Step 5: Solve for x
   x = 729,279,278,462.25/412,831.13
6. Step 6: Final answer
   x = 1,766,531.72