Finding the Third Proportional to 23,198 and 50,764

Step by Step Solution

1. Step 1: Write the proportion equation
   23,198 : 50,764 = 50,764 : x
2. Step 2: Convert to fraction form
   23,198/50,764 = 50,764/x
3. Step 3: Cross multiply
   23,198x = 50,764 × 50,764
4. Step 4: Simplify right side
   23,198x = 2,576,983,696
5. Step 5: Solve for x
   x = 2,576,983,696/23,198
6. Step 6: Final answer
   x = 111,086.46