Finding the Third Proportional to 50,648 and 110,838

Step by Step Solution

1. Step 1: Write the proportion equation
   50,648 : 110,838 = 110,838 : x
2. Step 2: Convert to fraction form
   50,648/110,838 = 110,838/x
3. Step 3: Cross multiply
   50,648x = 110,838 × 110,838
4. Step 4: Simplify right side
   50,648x = 12,285,062,244
5. Step 5: Solve for x
   x = 12,285,062,244/50,648
6. Step 6: Final answer
   x = 242,557.70