Finding the Third Proportional to 50,382 and 105,933

Step by Step Solution

1. Step 1: Write the proportion equation
   50,382 : 105,933 = 105,933 : x
2. Step 2: Convert to fraction form
   50,382/105,933 = 105,933/x
3. Step 3: Cross multiply
   50,382x = 105,933 × 105,933
4. Step 4: Simplify right side
   50,382x = 11,221,800,489
5. Step 5: Solve for x
   x = 11,221,800,489/50,382
6. Step 6: Final answer
   x = 222,734.32