Finding the Third Proportional to 105,404 and 227,630

Step by Step Solution

1. Step 1: Write the proportion equation
   105,404 : 227,630 = 227,630 : x
2. Step 2: Convert to fraction form
   105,404/227,630 = 227,630/x
3. Step 3: Cross multiply
   105,404x = 227,630 × 227,630
4. Step 4: Simplify right side
   105,404x = 51,815,416,900
5. Step 5: Solve for x
   x = 51,815,416,900/105,404
6. Step 6: Final answer
   x = 491,588.71