Finding the Third Proportional to 105,311 and 227,479

Step by Step Solution

1. Step 1: Write the proportion equation
   105,311 : 227,479 = 227,479 : x
2. Step 2: Convert to fraction form
   105,311/227,479 = 227,479/x
3. Step 3: Cross multiply
   105,311x = 227,479 × 227,479
4. Step 4: Simplify right side
   105,311x = 51,746,695,441
5. Step 5: Solve for x
   x = 51,746,695,441/105,311
6. Step 6: Final answer
   x = 491,370.28