Finding the Third Proportional to 300,164 and 640,496

Step by Step Solution

1. Step 1: Write the proportion equation
   300,164 : 640,496 = 640,496 : x
2. Step 2: Convert to fraction form
   300,164/640,496 = 640,496/x
3. Step 3: Cross multiply
   300,164x = 640,496 × 640,496
4. Step 4: Simplify right side
   300,164x = 410,235,126,016
5. Step 5: Solve for x
   x = 410,235,126,016/300,164
6. Step 6: Final answer
   x = 1,366,703.29