Finding the Third Proportional to 82.69 and 127.78

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 127.78 = 127.78 : x
2. Step 2: Convert to fraction form
   82.69/127.78 = 127.78/x
3. Step 3: Cross multiply
   82.69x = 127.78 × 127.78
4. Step 4: Simplify right side
   82.69x = 16,328.05
5. Step 5: Solve for x
   x = 16,328.05/82.69
6. Step 6: Final answer
   x = 197.47