Finding the Third Proportional to 460.69 and 682.31

Step by Step Solution

1. Step 1: Write the proportion equation
   460.69 : 682.31 = 682.31 : x
2. Step 2: Convert to fraction form
   460.69/682.31 = 682.31/x
3. Step 3: Cross multiply
   460.69x = 682.31 × 682.31
4. Step 4: Simplify right side
   460.69x = 465,550.35
5. Step 5: Solve for x
   x = 465,550.35/460.69
6. Step 6: Final answer
   x = 1,010.56