Finding the Third Proportional to 50,882 and 106,408

Step by Step Solution

1. Step 1: Write the proportion equation
   50,882 : 106,408 = 106,408 : x
2. Step 2: Convert to fraction form
   50,882/106,408 = 106,408/x
3. Step 3: Cross multiply
   50,882x = 106,408 × 106,408
4. Step 4: Simplify right side
   50,882x = 11,322,662,464
5. Step 5: Solve for x
   x = 11,322,662,464/50,882
6. Step 6: Final answer
   x = 222,527.86