Finding the Third Proportional to 319,078 and 494,002

Step by Step Solution

1. Step 1: Write the proportion equation
   319,078 : 494,002 = 494,002 : x
2. Step 2: Convert to fraction form
   319,078/494,002 = 494,002/x
3. Step 3: Cross multiply
   319,078x = 494,002 × 494,002
4. Step 4: Simplify right side
   319,078x = 244,037,976,004
5. Step 5: Solve for x
   x = 244,037,976,004/319,078
6. Step 6: Final answer
   x = 764,822.32