Finding the Third Proportional to 200,042 and 472,214

Step by Step Solution

1. Step 1: Write the proportion equation
   200,042 : 472,214 = 472,214 : x
2. Step 2: Convert to fraction form
   200,042/472,214 = 472,214/x
3. Step 3: Cross multiply
   200,042x = 472,214 × 472,214
4. Step 4: Simplify right side
   200,042x = 222,986,061,796
5. Step 5: Solve for x
   x = 222,986,061,796/200,042
6. Step 6: Final answer
   x = 1,114,696.22