Finding the Third Proportional to 105,129 and 229,266

Step by Step Solution

1. Step 1: Write the proportion equation
   105,129 : 229,266 = 229,266 : x
2. Step 2: Convert to fraction form
   105,129/229,266 = 229,266/x
3. Step 3: Cross multiply
   105,129x = 229,266 × 229,266
4. Step 4: Simplify right side
   105,129x = 52,562,898,756
5. Step 5: Solve for x
   x = 52,562,898,756/105,129
6. Step 6: Final answer
   x = 499,984.77