Finding the Third Proportional to 50,236 and 105,638

Step by Step Solution

1. Step 1: Write the proportion equation
   50,236 : 105,638 = 105,638 : x
2. Step 2: Convert to fraction form
   50,236/105,638 = 105,638/x
3. Step 3: Cross multiply
   50,236x = 105,638 × 105,638
4. Step 4: Simplify right side
   50,236x = 11,159,387,044
5. Step 5: Solve for x
   x = 11,159,387,044/50,236
6. Step 6: Final answer
   x = 222,139.24