Finding the Third Proportional to 231,826 and 494,271

Step by Step Solution

1. Step 1: Write the proportion equation
   231,826 : 494,271 = 494,271 : x
2. Step 2: Convert to fraction form
   231,826/494,271 = 494,271/x
3. Step 3: Cross multiply
   231,826x = 494,271 × 494,271
4. Step 4: Simplify right side
   231,826x = 244,303,821,441
5. Step 5: Solve for x
   x = 244,303,821,441/231,826
6. Step 6: Final answer
   x = 1,053,824.08