Finding the Third Proportional to 319,978.69 and 685,497.94

Step by Step Solution

1. Step 1: Write the proportion equation
   319,978.69 : 685,497.94 = 685,497.94 : x
2. Step 2: Convert to fraction form
   319,978.69/685,497.94 = 685,497.94/x
3. Step 3: Cross multiply
   319,978.69x = 685,497.94 × 685,497.94
4. Step 4: Simplify right side
   319,978.69x = 469,907,422,316.75
5. Step 5: Solve for x
   x = 469,907,422,316.75/319,978.69
6. Step 6: Final answer
   x = 1,468,558.50