Finding the Third Proportional to 127.69 and 254.53

Step by Step Solution

1. Step 1: Write the proportion equation
   127.69 : 254.53 = 254.53 : x
2. Step 2: Convert to fraction form
   127.69/254.53 = 254.53/x
3. Step 3: Cross multiply
   127.69x = 254.53 × 254.53
4. Step 4: Simplify right side
   127.69x = 64,786.16
5. Step 5: Solve for x
   x = 64,786.16/127.69
6. Step 6: Final answer
   x = 507.38