Finding the Third Proportional to 111.38 and 156.94

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 156.94 = 156.94 : x
2. Step 2: Convert to fraction form
   111.38/156.94 = 156.94/x
3. Step 3: Cross multiply
   111.38x = 156.94 × 156.94
4. Step 4: Simplify right side
   111.38x = 24,629.38
5. Step 5: Solve for x
   x = 24,629.38/111.38
6. Step 6: Final answer
   x = 221.14