Finding the Third Proportional to 111.75 and 286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 286.50 = 286.50 : x
2. Step 2: Convert to fraction form
   111.75/286.50 = 286.50/x
3. Step 3: Cross multiply
   111.75x = 286.50 × 286.50
4. Step 4: Simplify right side
   111.75x = 82,082.25
5. Step 5: Solve for x
   x = 82,082.25/111.75
6. Step 6: Final answer
   x = 734.52