Finding the Third Proportional to 319,857.75 and 684,002

Step by Step Solution

1. Step 1: Write the proportion equation
   319,857.75 : 684,002 = 684,002 : x
2. Step 2: Convert to fraction form
   319,857.75/684,002 = 684,002/x
3. Step 3: Cross multiply
   319,857.75x = 684,002 × 684,002
4. Step 4: Simplify right side
   319,857.75x = 467,858,736,004
5. Step 5: Solve for x
   x = 467,858,736,004/319,857.75
6. Step 6: Final answer
   x = 1,462,708.77