Finding the Third Proportional to 231,968 and 494,320

Step by Step Solution

1. Step 1: Write the proportion equation
   231,968 : 494,320 = 494,320 : x
2. Step 2: Convert to fraction form
   231,968/494,320 = 494,320/x
3. Step 3: Cross multiply
   231,968x = 494,320 × 494,320
4. Step 4: Simplify right side
   231,968x = 244,352,262,400
5. Step 5: Solve for x
   x = 244,352,262,400/231,968
6. Step 6: Final answer
   x = 1,053,387.81