Finding the Third Proportional to 50,544 and 109,821

Step by Step Solution

1. Step 1: Write the proportion equation
   50,544 : 109,821 = 109,821 : x
2. Step 2: Convert to fraction form
   50,544/109,821 = 109,821/x
3. Step 3: Cross multiply
   50,544x = 109,821 × 109,821
4. Step 4: Simplify right side
   50,544x = 12,060,652,041
5. Step 5: Solve for x
   x = 12,060,652,041/50,544
6. Step 6: Final answer
   x = 238,616.89