Finding the Third Proportional to 127.79 and 196.69

Step by Step Solution

1. Step 1: Write the proportion equation
   127.79 : 196.69 = 196.69 : x
2. Step 2: Convert to fraction form
   127.79/196.69 = 196.69/x
3. Step 3: Cross multiply
   127.79x = 196.69 × 196.69
4. Step 4: Simplify right side
   127.79x = 38,685.40
5. Step 5: Solve for x
   x = 38,685.40/127.79
6. Step 6: Final answer
   x = 302.73