Finding the Third Proportional to 127.41 and 269.16

Step by Step Solution

1. Step 1: Write the proportion equation
   127.41 : 269.16 = 269.16 : x
2. Step 2: Convert to fraction form
   127.41/269.16 = 269.16/x
3. Step 3: Cross multiply
   127.41x = 269.16 × 269.16
4. Step 4: Simplify right side
   127.41x = 72,445.09
5. Step 5: Solve for x
   x = 72,445.09/127.41
6. Step 6: Final answer
   x = 568.61