Finding the Third Proportional to 112.88 and 159.38

Step by Step Solution

1. Step 1: Write the proportion equation
   112.88 : 159.38 = 159.38 : x
2. Step 2: Convert to fraction form
   112.88/159.38 = 159.38/x
3. Step 3: Cross multiply
   112.88x = 159.38 × 159.38
4. Step 4: Simplify right side
   112.88x = 25,400.39
5. Step 5: Solve for x
   x = 25,400.39/112.88
6. Step 6: Final answer
   x = 225.03