Finding the Third Proportional to 49,665.50 and 108,778.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,665.50 : 108,778.75 = 108,778.75 : x
2. Step 2: Convert to fraction form
   49,665.50/108,778.75 = 108,778.75/x
3. Step 3: Cross multiply
   49,665.50x = 108,778.75 × 108,778.75
4. Step 4: Simplify right side
   49,665.50x = 11,832,816,451.56
5. Step 5: Solve for x
   x = 11,832,816,451.56/49,665.50
6. Step 6: Final answer
   x = 238,250.22