Finding the Third Proportional to 118 and 127.25

Step by Step Solution

1. Step 1: Write the proportion equation
   118 : 127.25 = 127.25 : x
2. Step 2: Convert to fraction form
   118/127.25 = 127.25/x
3. Step 3: Cross multiply
   118x = 127.25 × 127.25
4. Step 4: Simplify right side
   118x = 16,192.56
5. Step 5: Solve for x
   x = 16,192.56/118
6. Step 6: Final answer
   x = 137.23