Finding the Third Proportional to 269.72 and 441.42

Step by Step Solution

1. Step 1: Write the proportion equation
   269.72 : 441.42 = 441.42 : x
2. Step 2: Convert to fraction form
   269.72/441.42 = 441.42/x
3. Step 3: Cross multiply
   269.72x = 441.42 × 441.42
4. Step 4: Simplify right side
   269.72x = 194,853.27
5. Step 5: Solve for x
   x = 194,853.27/269.72
6. Step 6: Final answer
   x = 722.43