Finding the Third Proportional to 111.75 and 269.13

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 269.13 = 269.13 : x
2. Step 2: Convert to fraction form
   111.75/269.13 = 269.13/x
3. Step 3: Cross multiply
   111.75x = 269.13 × 269.13
4. Step 4: Simplify right side
   111.75x = 72,428.27
5. Step 5: Solve for x
   x = 72,428.27/111.75
6. Step 6: Final answer
   x = 648.13