Finding the Third Proportional to 200,684 and 435,916

Step by Step Solution

1. Step 1: Write the proportion equation
   200,684 : 435,916 = 435,916 : x
2. Step 2: Convert to fraction form
   200,684/435,916 = 435,916/x
3. Step 3: Cross multiply
   200,684x = 435,916 × 435,916
4. Step 4: Simplify right side
   200,684x = 190,022,759,056
5. Step 5: Solve for x
   x = 190,022,759,056/200,684
6. Step 6: Final answer
   x = 946,875.48