Finding the Third Proportional to 200,018 and 427,684

Step by Step Solution

1. Step 1: Write the proportion equation
   200,018 : 427,684 = 427,684 : x
2. Step 2: Convert to fraction form
   200,018/427,684 = 427,684/x
3. Step 3: Cross multiply
   200,018x = 427,684 × 427,684
4. Step 4: Simplify right side
   200,018x = 182,913,603,856
5. Step 5: Solve for x
   x = 182,913,603,856/200,018
6. Step 6: Final answer
   x = 914,485.72