Finding the Third Proportional to 315,573 and 684,648

Step by Step Solution

1. Step 1: Write the proportion equation
   315,573 : 684,648 = 684,648 : x
2. Step 2: Convert to fraction form
   315,573/684,648 = 684,648/x
3. Step 3: Cross multiply
   315,573x = 684,648 × 684,648
4. Step 4: Simplify right side
   315,573x = 468,742,883,904
5. Step 5: Solve for x
   x = 468,742,883,904/315,573
6. Step 6: Final answer
   x = 1,485,370.69