Finding the Third Proportional to 111.38 and 159.47

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 159.47 = 159.47 : x
2. Step 2: Convert to fraction form
   111.38/159.47 = 159.47/x
3. Step 3: Cross multiply
   111.38x = 159.47 × 159.47
4. Step 4: Simplify right side
   111.38x = 25,430.28
5. Step 5: Solve for x
   x = 25,430.28/111.38
6. Step 6: Final answer
   x = 228.33