Finding the Third Proportional to 50,382 and 109,836

Step by Step Solution

1. Step 1: Write the proportion equation
   50,382 : 109,836 = 109,836 : x
2. Step 2: Convert to fraction form
   50,382/109,836 = 109,836/x
3. Step 3: Cross multiply
   50,382x = 109,836 × 109,836
4. Step 4: Simplify right side
   50,382x = 12,063,946,896
5. Step 5: Solve for x
   x = 12,063,946,896/50,382
6. Step 6: Final answer
   x = 239,449.54