Finding the Third Proportional to 49,816 and 108,288

Step by Step Solution

1. Step 1: Write the proportion equation
   49,816 : 108,288 = 108,288 : x
2. Step 2: Convert to fraction form
   49,816/108,288 = 108,288/x
3. Step 3: Cross multiply
   49,816x = 108,288 × 108,288
4. Step 4: Simplify right side
   49,816x = 11,726,290,944
5. Step 5: Solve for x
   x = 11,726,290,944/49,816
6. Step 6: Final answer
   x = 235,392.06