Finding the Third Proportional to 127.75 and 196.73

Step by Step Solution

1. Step 1: Write the proportion equation
   127.75 : 196.73 = 196.73 : x
2. Step 2: Convert to fraction form
   127.75/196.73 = 196.73/x
3. Step 3: Cross multiply
   127.75x = 196.73 × 196.73
4. Step 4: Simplify right side
   127.75x = 38,700.96
5. Step 5: Solve for x
   x = 38,700.96/127.75
6. Step 6: Final answer
   x = 302.95