Finding the Third Proportional to 105,242 and 225,412

Step by Step Solution

1. Step 1: Write the proportion equation
   105,242 : 225,412 = 225,412 : x
2. Step 2: Convert to fraction form
   105,242/225,412 = 225,412/x
3. Step 3: Cross multiply
   105,242x = 225,412 × 225,412
4. Step 4: Simplify right side
   105,242x = 50,810,569,744
5. Step 5: Solve for x
   x = 50,810,569,744/105,242
6. Step 6: Final answer
   x = 482,797.45