Finding the Third Proportional to 111.75 and 296.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 296.25 = 296.25 : x
2. Step 2: Convert to fraction form
   111.75/296.25 = 296.25/x
3. Step 3: Cross multiply
   111.75x = 296.25 × 296.25
4. Step 4: Simplify right side
   111.75x = 87,764.06
5. Step 5: Solve for x
   x = 87,764.06/111.75
6. Step 6: Final answer
   x = 785.36