Finding the Third Proportional to 105,171.75 and 225,288

Step by Step Solution

1. Step 1: Write the proportion equation
   105,171.75 : 225,288 = 225,288 : x
2. Step 2: Convert to fraction form
   105,171.75/225,288 = 225,288/x
3. Step 3: Cross multiply
   105,171.75x = 225,288 × 225,288
4. Step 4: Simplify right side
   105,171.75x = 50,754,682,944
5. Step 5: Solve for x
   x = 50,754,682,944/105,171.75
6. Step 6: Final answer
   x = 482,588.56