Finding the Third Proportional to 82,777 and 126,834

Step by Step Solution

1. Step 1: Write the proportion equation
   82,777 : 126,834 = 126,834 : x
2. Step 2: Convert to fraction form
   82,777/126,834 = 126,834/x
3. Step 3: Cross multiply
   82,777x = 126,834 × 126,834
4. Step 4: Simplify right side
   82,777x = 16,086,863,556
5. Step 5: Solve for x
   x = 16,086,863,556/82,777
6. Step 6: Final answer
   x = 194,339.78