Finding the Third Proportional to 313.27 and 676.78

Step by Step Solution

1. Step 1: Write the proportion equation
   313.27 : 676.78 = 676.78 : x
2. Step 2: Convert to fraction form
   313.27/676.78 = 676.78/x
3. Step 3: Cross multiply
   313.27x = 676.78 × 676.78
4. Step 4: Simplify right side
   313.27x = 458,032.86
5. Step 5: Solve for x
   x = 458,032.86/313.27
6. Step 6: Final answer
   x = 1,462.12