Finding the Third Proportional to 314,696 and 681,904

Step by Step Solution

1. Step 1: Write the proportion equation
   314,696 : 681,904 = 681,904 : x
2. Step 2: Convert to fraction form
   314,696/681,904 = 681,904/x
3. Step 3: Cross multiply
   314,696x = 681,904 × 681,904
4. Step 4: Simplify right side
   314,696x = 464,993,065,216
5. Step 5: Solve for x
   x = 464,993,065,216/314,696
6. Step 6: Final answer
   x = 1,477,594.46