Finding the Third Proportional to 105,183 and 225,119.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,183 : 225,119.25 = 225,119.25 : x
2. Step 2: Convert to fraction form
   105,183/225,119.25 = 225,119.25/x
3. Step 3: Cross multiply
   105,183x = 225,119.25 × 225,119.25
4. Step 4: Simplify right side
   105,183x = 50,678,676,720.56
5. Step 5: Solve for x
   x = 50,678,676,720.56/105,183
6. Step 6: Final answer
   x = 481,814.33