Finding the Third Proportional to 49,576.50 and 108,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,576.50 : 108,949.50 = 108,949.50 : x
2. Step 2: Convert to fraction form
   49,576.50/108,949.50 = 108,949.50/x
3. Step 3: Cross multiply
   49,576.50x = 108,949.50 × 108,949.50
4. Step 4: Simplify right side
   49,576.50x = 11,869,993,550.25
5. Step 5: Solve for x
   x = 11,869,993,550.25/49,576.50
6. Step 6: Final answer
   x = 239,427.82