Finding the Third Proportional to 517.01 and 1,085.27

Step by Step Solution

1. Step 1: Write the proportion equation
   517.01 : 1,085.27 = 1,085.27 : x
2. Step 2: Convert to fraction form
   517.01/1,085.27 = 1,085.27/x
3. Step 3: Cross multiply
   517.01x = 1,085.27 × 1,085.27
4. Step 4: Simplify right side
   517.01x = 1,177,818.43
5. Step 5: Solve for x
   x = 1,177,818.43/517.01
6. Step 6: Final answer
   x = 2,278.14