Finding the Third Proportional to 560.57 and 685.55

Step by Step Solution

1. Step 1: Write the proportion equation
   560.57 : 685.55 = 685.55 : x
2. Step 2: Convert to fraction form
   560.57/685.55 = 685.55/x
3. Step 3: Cross multiply
   560.57x = 685.55 × 685.55
4. Step 4: Simplify right side
   560.57x = 469,974.52
5. Step 5: Solve for x
   x = 469,974.52/560.57
6. Step 6: Final answer
   x = 838.39