Finding the Third Proportional to 105,171 and 227,298

Step by Step Solution

1. Step 1: Write the proportion equation
   105,171 : 227,298 = 227,298 : x
2. Step 2: Convert to fraction form
   105,171/227,298 = 227,298/x
3. Step 3: Cross multiply
   105,171x = 227,298 × 227,298
4. Step 4: Simplify right side
   105,171x = 51,664,380,804
5. Step 5: Solve for x
   x = 51,664,380,804/105,171
6. Step 6: Final answer
   x = 491,241.70