Finding the Third Proportional to 111.59 and 167.27

Step by Step Solution

1. Step 1: Write the proportion equation
   111.59 : 167.27 = 167.27 : x
2. Step 2: Convert to fraction form
   111.59/167.27 = 167.27/x
3. Step 3: Cross multiply
   111.59x = 167.27 × 167.27
4. Step 4: Simplify right side
   111.59x = 27,980.40
5. Step 5: Solve for x
   x = 27,980.40/111.59
6. Step 6: Final answer
   x = 250.75