Finding the Third Proportional to 49,640 and 108,016

Step by Step Solution

1. Step 1: Write the proportion equation
   49,640 : 108,016 = 108,016 : x
2. Step 2: Convert to fraction form
   49,640/108,016 = 108,016/x
3. Step 3: Cross multiply
   49,640x = 108,016 × 108,016
4. Step 4: Simplify right side
   49,640x = 11,667,456,256
5. Step 5: Solve for x
   x = 11,667,456,256/49,640
6. Step 6: Final answer
   x = 235,041.42