Finding the Third Proportional to 200,014 and 422,510

Step by Step Solution

1. Step 1: Write the proportion equation
   200,014 : 422,510 = 422,510 : x
2. Step 2: Convert to fraction form
   200,014/422,510 = 422,510/x
3. Step 3: Cross multiply
   200,014x = 422,510 × 422,510
4. Step 4: Simplify right side
   200,014x = 178,514,700,100
5. Step 5: Solve for x
   x = 178,514,700,100/200,014
6. Step 6: Final answer
   x = 892,511.02