Finding the Third Proportional to 105,467 and 227,508

Step by Step Solution

1. Step 1: Write the proportion equation
   105,467 : 227,508 = 227,508 : x
2. Step 2: Convert to fraction form
   105,467/227,508 = 227,508/x
3. Step 3: Cross multiply
   105,467x = 227,508 × 227,508
4. Step 4: Simplify right side
   105,467x = 51,759,890,064
5. Step 5: Solve for x
   x = 51,759,890,064/105,467
6. Step 6: Final answer
   x = 490,768.58