Finding the Third Proportional to 49,500 and 108,846

Step by Step Solution

1. Step 1: Write the proportion equation
   49,500 : 108,846 = 108,846 : x
2. Step 2: Convert to fraction form
   49,500/108,846 = 108,846/x
3. Step 3: Cross multiply
   49,500x = 108,846 × 108,846
4. Step 4: Simplify right side
   49,500x = 11,847,451,716
5. Step 5: Solve for x
   x = 11,847,451,716/49,500
6. Step 6: Final answer
   x = 239,342.46