Finding the Third Proportional to 82,780 and 126,838

Step by Step Solution

1. Step 1: Write the proportion equation
   82,780 : 126,838 = 126,838 : x
2. Step 2: Convert to fraction form
   82,780/126,838 = 126,838/x
3. Step 3: Cross multiply
   82,780x = 126,838 × 126,838
4. Step 4: Simplify right side
   82,780x = 16,087,878,244
5. Step 5: Solve for x
   x = 16,087,878,244/82,780
6. Step 6: Final answer
   x = 194,344.99