Finding the Third Proportional to 315.56 and 362.81

Step by Step Solution

1. Step 1: Write the proportion equation
   315.56 : 362.81 = 362.81 : x
2. Step 2: Convert to fraction form
   315.56/362.81 = 362.81/x
3. Step 3: Cross multiply
   315.56x = 362.81 × 362.81
4. Step 4: Simplify right side
   315.56x = 131,632.91
5. Step 5: Solve for x
   x = 131,632.91/315.56
6. Step 6: Final answer
   x = 417.14