Finding the Third Proportional to 505.31 and 682.69

Step by Step Solution

1. Step 1: Write the proportion equation
   505.31 : 682.69 = 682.69 : x
2. Step 2: Convert to fraction form
   505.31/682.69 = 682.69/x
3. Step 3: Cross multiply
   505.31x = 682.69 × 682.69
4. Step 4: Simplify right side
   505.31x = 466,062.22
5. Step 5: Solve for x
   x = 466,062.22/505.31
6. Step 6: Final answer
   x = 922.32