Finding the Third Proportional to 319,686.75 and 683,694

Step by Step Solution

1. Step 1: Write the proportion equation
   319,686.75 : 683,694 = 683,694 : x
2. Step 2: Convert to fraction form
   319,686.75/683,694 = 683,694/x
3. Step 3: Cross multiply
   319,686.75x = 683,694 × 683,694
4. Step 4: Simplify right side
   319,686.75x = 467,437,485,636
5. Step 5: Solve for x
   x = 467,437,485,636/319,686.75
6. Step 6: Final answer
   x = 1,462,173.47