Finding the Third Proportional to 200,562 and 435,684

Step by Step Solution

1. Step 1: Write the proportion equation
   200,562 : 435,684 = 435,684 : x
2. Step 2: Convert to fraction form
   200,562/435,684 = 435,684/x
3. Step 3: Cross multiply
   200,562x = 435,684 × 435,684
4. Step 4: Simplify right side
   200,562x = 189,820,547,856
5. Step 5: Solve for x
   x = 189,820,547,856/200,562
6. Step 6: Final answer
   x = 946,443.23