Finding the Third Proportional to 50,204 and 73,628

Step by Step Solution

1. Step 1: Write the proportion equation
   50,204 : 73,628 = 73,628 : x
2. Step 2: Convert to fraction form
   50,204/73,628 = 73,628/x
3. Step 3: Cross multiply
   50,204x = 73,628 × 73,628
4. Step 4: Simplify right side
   50,204x = 5,421,082,384
5. Step 5: Solve for x
   x = 5,421,082,384/50,204
6. Step 6: Final answer
   x = 107,981.08