Finding the Third Proportional to 108,144 and 231,234

Step by Step Solution

1. Step 1: Write the proportion equation
   108,144 : 231,234 = 231,234 : x
2. Step 2: Convert to fraction form
   108,144/231,234 = 231,234/x
3. Step 3: Cross multiply
   108,144x = 231,234 × 231,234
4. Step 4: Simplify right side
   108,144x = 53,469,162,756
5. Step 5: Solve for x
   x = 53,469,162,756/108,144
6. Step 6: Final answer
   x = 494,425.61