Finding the Third Proportional to 167.38 and 367.31

Step by Step Solution

1. Step 1: Write the proportion equation
   167.38 : 367.31 = 367.31 : x
2. Step 2: Convert to fraction form
   167.38/367.31 = 367.31/x
3. Step 3: Cross multiply
   167.38x = 367.31 × 367.31
4. Step 4: Simplify right side
   167.38x = 134,918.47
5. Step 5: Solve for x
   x = 134,918.47/167.38
6. Step 6: Final answer
   x = 806.08