Finding the Third Proportional to 50,244 and 105,657

Step by Step Solution

1. Step 1: Write the proportion equation
   50,244 : 105,657 = 105,657 : x
2. Step 2: Convert to fraction form
   50,244/105,657 = 105,657/x
3. Step 3: Cross multiply
   50,244x = 105,657 × 105,657
4. Step 4: Simplify right side
   50,244x = 11,163,401,649
5. Step 5: Solve for x
   x = 11,163,401,649/50,244
6. Step 6: Final answer
   x = 222,183.78