Finding the Third Proportional to 23,758 and 50,198

Step by Step Solution

1. Step 1: Write the proportion equation
   23,758 : 50,198 = 50,198 : x
2. Step 2: Convert to fraction form
   23,758/50,198 = 50,198/x
3. Step 3: Cross multiply
   23,758x = 50,198 × 50,198
4. Step 4: Simplify right side
   23,758x = 2,519,839,204
5. Step 5: Solve for x
   x = 2,519,839,204/23,758
6. Step 6: Final answer
   x = 106,062.77