Finding the Third Proportional to 50,869 and 106,384

Step by Step Solution

1. Step 1: Write the proportion equation
   50,869 : 106,384 = 106,384 : x
2. Step 2: Convert to fraction form
   50,869/106,384 = 106,384/x
3. Step 3: Cross multiply
   50,869x = 106,384 × 106,384
4. Step 4: Simplify right side
   50,869x = 11,317,555,456
5. Step 5: Solve for x
   x = 11,317,555,456/50,869
6. Step 6: Final answer
   x = 222,484.33