Finding the Third Proportional to 111.38 and 162.94

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 162.94 = 162.94 : x
2. Step 2: Convert to fraction form
   111.38/162.94 = 162.94/x
3. Step 3: Cross multiply
   111.38x = 162.94 × 162.94
4. Step 4: Simplify right side
   111.38x = 26,548.63
5. Step 5: Solve for x
   x = 26,548.63/111.38
6. Step 6: Final answer
   x = 238.37