Finding the Third Proportional to 200,668 and 473,678

Step by Step Solution

1. Step 1: Write the proportion equation
   200,668 : 473,678 = 473,678 : x
2. Step 2: Convert to fraction form
   200,668/473,678 = 473,678/x
3. Step 3: Cross multiply
   200,668x = 473,678 × 473,678
4. Step 4: Simplify right side
   200,668x = 224,370,847,684
5. Step 5: Solve for x
   x = 224,370,847,684/200,668
6. Step 6: Final answer
   x = 1,118,119.72