Finding the Third Proportional to 316,084 and 685,736

Step by Step Solution

1. Step 1: Write the proportion equation
   316,084 : 685,736 = 685,736 : x
2. Step 2: Convert to fraction form
   316,084/685,736 = 685,736/x
3. Step 3: Cross multiply
   316,084x = 685,736 × 685,736
4. Step 4: Simplify right side
   316,084x = 470,233,861,696
5. Step 5: Solve for x
   x = 470,233,861,696/316,084
6. Step 6: Final answer
   x = 1,487,686.38