Finding the Third Proportional to 59,206 and 126,836

Step by Step Solution

1. Step 1: Write the proportion equation
   59,206 : 126,836 = 126,836 : x
2. Step 2: Convert to fraction form
   59,206/126,836 = 126,836/x
3. Step 3: Cross multiply
   59,206x = 126,836 × 126,836
4. Step 4: Simplify right side
   59,206x = 16,087,370,896
5. Step 5: Solve for x
   x = 16,087,370,896/59,206
6. Step 6: Final answer
   x = 271,718.59