Finding the Third Proportional to 50,501 and 106,469

Step by Step Solution

1. Step 1: Write the proportion equation
   50,501 : 106,469 = 106,469 : x
2. Step 2: Convert to fraction form
   50,501/106,469 = 106,469/x
3. Step 3: Cross multiply
   50,501x = 106,469 × 106,469
4. Step 4: Simplify right side
   50,501x = 11,335,647,961
5. Step 5: Solve for x
   x = 11,335,647,961/50,501
6. Step 6: Final answer
   x = 224,463.83