Finding the Third Proportional to 111.75 and 286.38

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 286.38 = 286.38 : x
2. Step 2: Convert to fraction form
   111.75/286.38 = 286.38/x
3. Step 3: Cross multiply
   111.75x = 286.38 × 286.38
4. Step 4: Simplify right side
   111.75x = 82,010.64
5. Step 5: Solve for x
   x = 82,010.64/111.75
6. Step 6: Final answer
   x = 733.88