Finding the Third Proportional to 460.69 and 632.81

Step by Step Solution

1. Step 1: Write the proportion equation
   460.69 : 632.81 = 632.81 : x
2. Step 2: Convert to fraction form
   460.69/632.81 = 632.81/x
3. Step 3: Cross multiply
   460.69x = 632.81 × 632.81
4. Step 4: Simplify right side
   460.69x = 400,451.66
5. Step 5: Solve for x
   x = 400,451.66/460.69
6. Step 6: Final answer
   x = 869.25