Finding the Third Proportional to 50,578 and 76,067

Step by Step Solution

1. Step 1: Write the proportion equation
   50,578 : 76,067 = 76,067 : x
2. Step 2: Convert to fraction form
   50,578/76,067 = 76,067/x
3. Step 3: Cross multiply
   50,578x = 76,067 × 76,067
4. Step 4: Simplify right side
   50,578x = 5,786,188,489
5. Step 5: Solve for x
   x = 5,786,188,489/50,578
6. Step 6: Final answer
   x = 114,401.29