Finding the Third Proportional to 49,456.50 and 109,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,456.50 : 109,969.50 = 109,969.50 : x
2. Step 2: Convert to fraction form
   49,456.50/109,969.50 = 109,969.50/x
3. Step 3: Cross multiply
   49,456.50x = 109,969.50 × 109,969.50
4. Step 4: Simplify right side
   49,456.50x = 12,093,290,930.25
5. Step 5: Solve for x
   x = 12,093,290,930.25/49,456.50
6. Step 6: Final answer
   x = 244,523.79