Finding the Third Proportional to 411.75 and 676.27

Step by Step Solution

1. Step 1: Write the proportion equation
   411.75 : 676.27 = 676.27 : x
2. Step 2: Convert to fraction form
   411.75/676.27 = 676.27/x
3. Step 3: Cross multiply
   411.75x = 676.27 × 676.27
4. Step 4: Simplify right side
   411.75x = 457,335.20
5. Step 5: Solve for x
   x = 457,335.20/411.75
6. Step 6: Final answer
   x = 1,110.71