Finding the Third Proportional to 49,884 and 110,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,884 : 110,839.50 = 110,839.50 : x
2. Step 2: Convert to fraction form
   49,884/110,839.50 = 110,839.50/x
3. Step 3: Cross multiply
   49,884x = 110,839.50 × 110,839.50
4. Step 4: Simplify right side
   49,884x = 12,285,394,760.25
5. Step 5: Solve for x
   x = 12,285,394,760.25/49,884
6. Step 6: Final answer
   x = 246,279.26