Finding the Third Proportional to 200,256 and 406,038

Step by Step Solution

1. Step 1: Write the proportion equation
   200,256 : 406,038 = 406,038 : x
2. Step 2: Convert to fraction form
   200,256/406,038 = 406,038/x
3. Step 3: Cross multiply
   200,256x = 406,038 × 406,038
4. Step 4: Simplify right side
   200,256x = 164,866,857,444
5. Step 5: Solve for x
   x = 164,866,857,444/200,256
6. Step 6: Final answer
   x = 823,280.49