Finding the Third Proportional to 200,648 and 435,856

Step by Step Solution

1. Step 1: Write the proportion equation
   200,648 : 435,856 = 435,856 : x
2. Step 2: Convert to fraction form
   200,648/435,856 = 435,856/x
3. Step 3: Cross multiply
   200,648x = 435,856 × 435,856
4. Step 4: Simplify right side
   200,648x = 189,970,452,736
5. Step 5: Solve for x
   x = 189,970,452,736/200,648
6. Step 6: Final answer
   x = 946,784.68