Finding the Third Proportional to 50,926 and 120,408

Step by Step Solution

1. Step 1: Write the proportion equation
   50,926 : 120,408 = 120,408 : x
2. Step 2: Convert to fraction form
   50,926/120,408 = 120,408/x
3. Step 3: Cross multiply
   50,926x = 120,408 × 120,408
4. Step 4: Simplify right side
   50,926x = 14,498,086,464
5. Step 5: Solve for x
   x = 14,498,086,464/50,926
6. Step 6: Final answer
   x = 284,689.28