Finding the Third Proportional to 127.69 and 269.44

Step by Step Solution

1. Step 1: Write the proportion equation
   127.69 : 269.44 = 269.44 : x
2. Step 2: Convert to fraction form
   127.69/269.44 = 269.44/x
3. Step 3: Cross multiply
   127.69x = 269.44 × 269.44
4. Step 4: Simplify right side
   127.69x = 72,596.57
5. Step 5: Solve for x
   x = 72,596.57/127.69
6. Step 6: Final answer
   x = 568.55