Finding the Third Proportional to 127.81 and 280.47

Step by Step Solution

1. Step 1: Write the proportion equation
   127.81 : 280.47 = 280.47 : x
2. Step 2: Convert to fraction form
   127.81/280.47 = 280.47/x
3. Step 3: Cross multiply
   127.81x = 280.47 × 280.47
4. Step 4: Simplify right side
   127.81x = 78,662.72
5. Step 5: Solve for x
   x = 78,662.72/127.81
6. Step 6: Final answer
   x = 615.45