Finding the Third Proportional to 111.25 and 288.63

Step by Step Solution

1. Step 1: Write the proportion equation
   111.25 : 288.63 = 288.63 : x
2. Step 2: Convert to fraction form
   111.25/288.63 = 288.63/x
3. Step 3: Cross multiply
   111.25x = 288.63 × 288.63
4. Step 4: Simplify right side
   111.25x = 83,304.39
5. Step 5: Solve for x
   x = 83,304.39/111.25
6. Step 6: Final answer
   x = 748.80