Finding the Third Proportional to 49,544 and 108,884

Step by Step Solution

1. Step 1: Write the proportion equation
   49,544 : 108,884 = 108,884 : x
2. Step 2: Convert to fraction form
   49,544/108,884 = 108,884/x
3. Step 3: Cross multiply
   49,544x = 108,884 × 108,884
4. Step 4: Simplify right side
   49,544x = 11,855,725,456
5. Step 5: Solve for x
   x = 11,855,725,456/49,544
6. Step 6: Final answer
   x = 239,296.90