Finding the Third Proportional to 111.75 and 178.88

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 178.88 = 178.88 : x
2. Step 2: Convert to fraction form
   111.75/178.88 = 178.88/x
3. Step 3: Cross multiply
   111.75x = 178.88 × 178.88
4. Step 4: Simplify right side
   111.75x = 31,996.27
5. Step 5: Solve for x
   x = 31,996.27/111.75
6. Step 6: Final answer
   x = 286.32