Finding the Third Proportional to 49,796 and 108,016

Step by Step Solution

1. Step 1: Write the proportion equation
   49,796 : 108,016 = 108,016 : x
2. Step 2: Convert to fraction form
   49,796/108,016 = 108,016/x
3. Step 3: Cross multiply
   49,796x = 108,016 × 108,016
4. Step 4: Simplify right side
   49,796x = 11,667,456,256
5. Step 5: Solve for x
   x = 11,667,456,256/49,796
6. Step 6: Final answer
   x = 234,305.09