Finding the Third Proportional to 49,844 and 108,976

Step by Step Solution

1. Step 1: Write the proportion equation
   49,844 : 108,976 = 108,976 : x
2. Step 2: Convert to fraction form
   49,844/108,976 = 108,976/x
3. Step 3: Cross multiply
   49,844x = 108,976 × 108,976
4. Step 4: Simplify right side
   49,844x = 11,875,768,576
5. Step 5: Solve for x
   x = 11,875,768,576/49,844
6. Step 6: Final answer
   x = 238,258.74