Finding the Third Proportional to 315.56 and 682.45

Step by Step Solution

1. Step 1: Write the proportion equation
   315.56 : 682.45 = 682.45 : x
2. Step 2: Convert to fraction form
   315.56/682.45 = 682.45/x
3. Step 3: Cross multiply
   315.56x = 682.45 × 682.45
4. Step 4: Simplify right side
   315.56x = 465,742.27
5. Step 5: Solve for x
   x = 465,742.27/315.56
6. Step 6: Final answer
   x = 1,475.91