Finding the Third Proportional to 411.75 and 632.81

Step by Step Solution

1. Step 1: Write the proportion equation
   411.75 : 632.81 = 632.81 : x
2. Step 2: Convert to fraction form
   411.75/632.81 = 632.81/x
3. Step 3: Cross multiply
   411.75x = 632.81 × 632.81
4. Step 4: Simplify right side
   411.75x = 400,451.66
5. Step 5: Solve for x
   x = 400,451.66/411.75
6. Step 6: Final answer
   x = 972.56