Finding the Third Proportional to 442,684 and 978,402

Step by Step Solution

1. Step 1: Write the proportion equation
   442,684 : 978,402 = 978,402 : x
2. Step 2: Convert to fraction form
   442,684/978,402 = 978,402/x
3. Step 3: Cross multiply
   442,684x = 978,402 × 978,402
4. Step 4: Simplify right side
   442,684x = 957,270,473,604
5. Step 5: Solve for x
   x = 957,270,473,604/442,684
6. Step 6: Final answer
   x = 2,162,423.93