Finding the Third Proportional to 23,077 and 50,204

Step by Step Solution

1. Step 1: Write the proportion equation
   23,077 : 50,204 = 50,204 : x
2. Step 2: Convert to fraction form
   23,077/50,204 = 50,204/x
3. Step 3: Cross multiply
   23,077x = 50,204 × 50,204
4. Step 4: Simplify right side
   23,077x = 2,520,441,616
5. Step 5: Solve for x
   x = 2,520,441,616/23,077
6. Step 6: Final answer
   x = 109,218.77