Finding the Third Proportional to 49,871 and 108,065

Step by Step Solution

1. Step 1: Write the proportion equation
   49,871 : 108,065 = 108,065 : x
2. Step 2: Convert to fraction form
   49,871/108,065 = 108,065/x
3. Step 3: Cross multiply
   49,871x = 108,065 × 108,065
4. Step 4: Simplify right side
   49,871x = 11,678,044,225
5. Step 5: Solve for x
   x = 11,678,044,225/49,871
6. Step 6: Final answer
   x = 234,165.03