Finding the Third Proportional to 322.38 and 367.38

Step by Step Solution

1. Step 1: Write the proportion equation
   322.38 : 367.38 = 367.38 : x
2. Step 2: Convert to fraction form
   322.38/367.38 = 367.38/x
3. Step 3: Cross multiply
   322.38x = 367.38 × 367.38
4. Step 4: Simplify right side
   322.38x = 134,964.39
5. Step 5: Solve for x
   x = 134,964.39/322.38
6. Step 6: Final answer
   x = 418.66