Finding the Third Proportional to 127.69 and 280.13

Step by Step Solution

1. Step 1: Write the proportion equation
   127.69 : 280.13 = 280.13 : x
2. Step 2: Convert to fraction form
   127.69/280.13 = 280.13/x
3. Step 3: Cross multiply
   127.69x = 280.13 × 280.13
4. Step 4: Simplify right side
   127.69x = 78,470.02
5. Step 5: Solve for x
   x = 78,470.02/127.69
6. Step 6: Final answer
   x = 614.55