Finding the Third Proportional to 49,638 and 109,104

Step by Step Solution

1. Step 1: Write the proportion equation
   49,638 : 109,104 = 109,104 : x
2. Step 2: Convert to fraction form
   49,638/109,104 = 109,104/x
3. Step 3: Cross multiply
   49,638x = 109,104 × 109,104
4. Step 4: Simplify right side
   49,638x = 11,903,682,816
5. Step 5: Solve for x
   x = 11,903,682,816/49,638
6. Step 6: Final answer
   x = 239,809.88