Finding the Third Proportional to 127.81 and 268.88

Step by Step Solution

1. Step 1: Write the proportion equation
   127.81 : 268.88 = 268.88 : x
2. Step 2: Convert to fraction form
   127.81/268.88 = 268.88/x
3. Step 3: Cross multiply
   127.81x = 268.88 × 268.88
4. Step 4: Simplify right side
   127.81x = 72,293.77
5. Step 5: Solve for x
   x = 72,293.77/127.81
6. Step 6: Final answer
   x = 565.62