Finding the Third Proportional to 105,699 and 229,110

Step by Step Solution

1. Step 1: Write the proportion equation
   105,699 : 229,110 = 229,110 : x
2. Step 2: Convert to fraction form
   105,699/229,110 = 229,110/x
3. Step 3: Cross multiply
   105,699x = 229,110 × 229,110
4. Step 4: Simplify right side
   105,699x = 52,491,392,100
5. Step 5: Solve for x
   x = 52,491,392,100/105,699
6. Step 6: Final answer
   x = 496,612.00