Finding the Third Proportional to 50,206 and 108,680

Step by Step Solution

1. Step 1: Write the proportion equation
   50,206 : 108,680 = 108,680 : x
2. Step 2: Convert to fraction form
   50,206/108,680 = 108,680/x
3. Step 3: Cross multiply
   50,206x = 108,680 × 108,680
4. Step 4: Simplify right side
   50,206x = 11,811,342,400
5. Step 5: Solve for x
   x = 11,811,342,400/50,206
6. Step 6: Final answer
   x = 235,257.59