Finding the Third Proportional to 83,844 and 126,846

Step by Step Solution

1. Step 1: Write the proportion equation
   83,844 : 126,846 = 126,846 : x
2. Step 2: Convert to fraction form
   83,844/126,846 = 126,846/x
3. Step 3: Cross multiply
   83,844x = 126,846 × 126,846
4. Step 4: Simplify right side
   83,844x = 16,089,907,716
5. Step 5: Solve for x
   x = 16,089,907,716/83,844
6. Step 6: Final answer
   x = 191,902.91