Finding the Third Proportional to 300,874 and 640,736

Step by Step Solution

1. Step 1: Write the proportion equation
   300,874 : 640,736 = 640,736 : x
2. Step 2: Convert to fraction form
   300,874/640,736 = 640,736/x
3. Step 3: Cross multiply
   300,874x = 640,736 × 640,736
4. Step 4: Simplify right side
   300,874x = 410,542,621,696
5. Step 5: Solve for x
   x = 410,542,621,696/300,874
6. Step 6: Final answer
   x = 1,364,500.16