Finding the Third Proportional to 49,680 and 108,282

Step by Step Solution

1. Step 1: Write the proportion equation
   49,680 : 108,282 = 108,282 : x
2. Step 2: Convert to fraction form
   49,680/108,282 = 108,282/x
3. Step 3: Cross multiply
   49,680x = 108,282 × 108,282
4. Step 4: Simplify right side
   49,680x = 11,724,991,524
5. Step 5: Solve for x
   x = 11,724,991,524/49,680
6. Step 6: Final answer
   x = 236,010.30