Finding the Third Proportional to 111.75 and 264.75

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 264.75 = 264.75 : x
2. Step 2: Convert to fraction form
   111.75/264.75 = 264.75/x
3. Step 3: Cross multiply
   111.75x = 264.75 × 264.75
4. Step 4: Simplify right side
   111.75x = 70,092.56
5. Step 5: Solve for x
   x = 70,092.56/111.75
6. Step 6: Final answer
   x = 627.23