Finding the Third Proportional to 127.83 and 148.55

Step by Step Solution

1. Step 1: Write the proportion equation
   127.83 : 148.55 = 148.55 : x
2. Step 2: Convert to fraction form
   127.83/148.55 = 148.55/x
3. Step 3: Cross multiply
   127.83x = 148.55 × 148.55
4. Step 4: Simplify right side
   127.83x = 22,067.91
5. Step 5: Solve for x
   x = 22,067.91/127.83
6. Step 6: Final answer
   x = 172.64