Finding the Third Proportional to 83,846 and 126,849

Step by Step Solution

1. Step 1: Write the proportion equation
   83,846 : 126,849 = 126,849 : x
2. Step 2: Convert to fraction form
   83,846/126,849 = 126,849/x
3. Step 3: Cross multiply
   83,846x = 126,849 × 126,849
4. Step 4: Simplify right side
   83,846x = 16,090,668,801
5. Step 5: Solve for x
   x = 16,090,668,801/83,846
6. Step 6: Final answer
   x = 191,907.41