Finding the Third Proportional to 43.25 and 111.69

Step by Step Solution

1. Step 1: Write the proportion equation
   43.25 : 111.69 = 111.69 : x
2. Step 2: Convert to fraction form
   43.25/111.69 = 111.69/x
3. Step 3: Cross multiply
   43.25x = 111.69 × 111.69
4. Step 4: Simplify right side
   43.25x = 12,474.10
5. Step 5: Solve for x
   x = 12,474.10/43.25
6. Step 6: Final answer
   x = 288.42