Finding the Third Proportional to 113.25 and 116.25

Step by Step Solution

1. Step 1: Write the proportion equation
   113.25 : 116.25 = 116.25 : x
2. Step 2: Convert to fraction form
   113.25/116.25 = 116.25/x
3. Step 3: Cross multiply
   113.25x = 116.25 × 116.25
4. Step 4: Simplify right side
   113.25x = 13,514.06
5. Step 5: Solve for x
   x = 13,514.06/113.25
6. Step 6: Final answer
   x = 119.33