Finding the Third Proportional to 406.69 and 676.27

Step by Step Solution

1. Step 1: Write the proportion equation
   406.69 : 676.27 = 676.27 : x
2. Step 2: Convert to fraction form
   406.69/676.27 = 676.27/x
3. Step 3: Cross multiply
   406.69x = 676.27 × 676.27
4. Step 4: Simplify right side
   406.69x = 457,335.20
5. Step 5: Solve for x
   x = 457,335.20/406.69
6. Step 6: Final answer
   x = 1,124.54