Finding the Third Proportional to 316.31 and 462.56

Step by Step Solution

1. Step 1: Write the proportion equation
   316.31 : 462.56 = 462.56 : x
2. Step 2: Convert to fraction form
   316.31/462.56 = 462.56/x
3. Step 3: Cross multiply
   316.31x = 462.56 × 462.56
4. Step 4: Simplify right side
   316.31x = 213,964.07
5. Step 5: Solve for x
   x = 213,964.07/316.31
6. Step 6: Final answer
   x = 676.43