Finding the Third Proportional to 50,978 and 110,452

Step by Step Solution

1. Step 1: Write the proportion equation
   50,978 : 110,452 = 110,452 : x
2. Step 2: Convert to fraction form
   50,978/110,452 = 110,452/x
3. Step 3: Cross multiply
   50,978x = 110,452 × 110,452
4. Step 4: Simplify right side
   50,978x = 12,199,644,304
5. Step 5: Solve for x
   x = 12,199,644,304/50,978
6. Step 6: Final answer
   x = 239,311.94