Finding the Third Proportional to 517,309 and 798,105

Step by Step Solution

1. Step 1: Write the proportion equation
   517,309 : 798,105 = 798,105 : x
2. Step 2: Convert to fraction form
   517,309/798,105 = 798,105/x
3. Step 3: Cross multiply
   517,309x = 798,105 × 798,105
4. Step 4: Simplify right side
   517,309x = 636,971,591,025
5. Step 5: Solve for x
   x = 636,971,591,025/517,309
6. Step 6: Final answer
   x = 1,231,317.44