Finding the Third Proportional to 105,244 and 225,416

Step by Step Solution

1. Step 1: Write the proportion equation
   105,244 : 225,416 = 225,416 : x
2. Step 2: Convert to fraction form
   105,244/225,416 = 225,416/x
3. Step 3: Cross multiply
   105,244x = 225,416 × 225,416
4. Step 4: Simplify right side
   105,244x = 50,812,373,056
5. Step 5: Solve for x
   x = 50,812,373,056/105,244
6. Step 6: Final answer
   x = 482,805.41