Finding the Third Proportional to 517.01 and 789.04

Step by Step Solution

1. Step 1: Write the proportion equation
   517.01 : 789.04 = 789.04 : x
2. Step 2: Convert to fraction form
   517.01/789.04 = 789.04/x
3. Step 3: Cross multiply
   517.01x = 789.04 × 789.04
4. Step 4: Simplify right side
   517.01x = 622,581.10
5. Step 5: Solve for x
   x = 622,581.10/517.01
6. Step 6: Final answer
   x = 1,204.20