Finding the Third Proportional to 313,830 and 685,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,830 : 685,975.50 = 685,975.50 : x
2. Step 2: Convert to fraction form
   313,830/685,975.50 = 685,975.50/x
3. Step 3: Cross multiply
   313,830x = 685,975.50 × 685,975.50
4. Step 4: Simplify right side
   313,830x = 470,562,386,600.25
5. Step 5: Solve for x
   x = 470,562,386,600.25/313,830
6. Step 6: Final answer
   x = 1,499,418.11