Finding the Third Proportional to 49,902 and 108,227

Step by Step Solution

1. Step 1: Write the proportion equation
   49,902 : 108,227 = 108,227 : x
2. Step 2: Convert to fraction form
   49,902/108,227 = 108,227/x
3. Step 3: Cross multiply
   49,902x = 108,227 × 108,227
4. Step 4: Simplify right side
   49,902x = 11,713,083,529
5. Step 5: Solve for x
   x = 11,713,083,529/49,902
6. Step 6: Final answer
   x = 234,721.73