Finding the Third Proportional to 105,766 and 229,964

Step by Step Solution

1. Step 1: Write the proportion equation
   105,766 : 229,964 = 229,964 : x
2. Step 2: Convert to fraction form
   105,766/229,964 = 229,964/x
3. Step 3: Cross multiply
   105,766x = 229,964 × 229,964
4. Step 4: Simplify right side
   105,766x = 52,883,441,296
5. Step 5: Solve for x
   x = 52,883,441,296/105,766
6. Step 6: Final answer
   x = 500,004.17