Finding the Third Proportional to 314,863,984.69 and 685,105,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,863,984.69 : 685,105,816.50 = 685,105,816.50 : x
2. Step 2: Convert to fraction form
   314,863,984.69/685,105,816.50 = 685,105,816.50/x
3. Step 3: Cross multiply
   314,863,984.69x = 685,105,816.50 × 685,105,816.50
4. Step 4: Simplify right side
   314,863,984.69x = 469,369,979,802,131,648
5. Step 5: Solve for x
   x = 469,369,979,802,131,648/314,863,984.69
6. Step 6: Final answer
   x = 1,490,707,107.29