Finding the Third Proportional to 319,986 and 685,514.25

Step by Step Solution

1. Step 1: Write the proportion equation
   319,986 : 685,514.25 = 685,514.25 : x
2. Step 2: Convert to fraction form
   319,986/685,514.25 = 685,514.25/x
3. Step 3: Cross multiply
   319,986x = 685,514.25 × 685,514.25
4. Step 4: Simplify right side
   319,986x = 469,929,786,953.06
5. Step 5: Solve for x
   x = 469,929,786,953.06/319,986
6. Step 6: Final answer
   x = 1,468,594.84