Finding the Third Proportional to 50,950 and 111,158

Step by Step Solution

1. Step 1: Write the proportion equation
   50,950 : 111,158 = 111,158 : x
2. Step 2: Convert to fraction form
   50,950/111,158 = 111,158/x
3. Step 3: Cross multiply
   50,950x = 111,158 × 111,158
4. Step 4: Simplify right side
   50,950x = 12,356,100,964
5. Step 5: Solve for x
   x = 12,356,100,964/50,950
6. Step 6: Final answer
   x = 242,514.25