Finding the Third Proportional to 50,778 and 110,958

Step by Step Solution

1. Step 1: Write the proportion equation
   50,778 : 110,958 = 110,958 : x
2. Step 2: Convert to fraction form
   50,778/110,958 = 110,958/x
3. Step 3: Cross multiply
   50,778x = 110,958 × 110,958
4. Step 4: Simplify right side
   50,778x = 12,311,677,764
5. Step 5: Solve for x
   x = 12,311,677,764/50,778
6. Step 6: Final answer
   x = 242,460.86