Finding the Third Proportional to 313.17 and 676.83

Step by Step Solution

1. Step 1: Write the proportion equation
   313.17 : 676.83 = 676.83 : x
2. Step 2: Convert to fraction form
   313.17/676.83 = 676.83/x
3. Step 3: Cross multiply
   313.17x = 676.83 × 676.83
4. Step 4: Simplify right side
   313.17x = 458,096.31
5. Step 5: Solve for x
   x = 458,096.31/313.17
6. Step 6: Final answer
   x = 1,462.76