Finding the Third Proportional to 83,848 and 126,856

Step by Step Solution

1. Step 1: Write the proportion equation
   83,848 : 126,856 = 126,856 : x
2. Step 2: Convert to fraction form
   83,848/126,856 = 126,856/x
3. Step 3: Cross multiply
   83,848x = 126,856 × 126,856
4. Step 4: Simplify right side
   83,848x = 16,092,444,736
5. Step 5: Solve for x
   x = 16,092,444,736/83,848
6. Step 6: Final answer
   x = 191,924.01