Finding the Third Proportional to 112.38 and 176.38

Step by Step Solution

1. Step 1: Write the proportion equation
   112.38 : 176.38 = 176.38 : x
2. Step 2: Convert to fraction form
   112.38/176.38 = 176.38/x
3. Step 3: Cross multiply
   112.38x = 176.38 × 176.38
4. Step 4: Simplify right side
   112.38x = 31,108.14
5. Step 5: Solve for x
   x = 31,108.14/112.38
6. Step 6: Final answer
   x = 276.82