Finding the Third Proportional to 200,038 and 472,204

Step by Step Solution

1. Step 1: Write the proportion equation
   200,038 : 472,204 = 472,204 : x
2. Step 2: Convert to fraction form
   200,038/472,204 = 472,204/x
3. Step 3: Cross multiply
   200,038x = 472,204 × 472,204
4. Step 4: Simplify right side
   200,038x = 222,976,617,616
5. Step 5: Solve for x
   x = 222,976,617,616/200,038
6. Step 6: Final answer
   x = 1,114,671.30