Finding the Third Proportional to 111.50 and 296

Step by Step Solution

1. Step 1: Write the proportion equation
   111.50 : 296 = 296 : x
2. Step 2: Convert to fraction form
   111.50/296 = 296/x
3. Step 3: Cross multiply
   111.50x = 296 × 296
4. Step 4: Simplify right side
   111.50x = 87,616
5. Step 5: Solve for x
   x = 87,616/111.50
6. Step 6: Final answer
   x = 785.79