Finding the Third Proportional to 442,716 and 978,462

Step by Step Solution

1. Step 1: Write the proportion equation
   442,716 : 978,462 = 978,462 : x
2. Step 2: Convert to fraction form
   442,716/978,462 = 978,462/x
3. Step 3: Cross multiply
   442,716x = 978,462 × 978,462
4. Step 4: Simplify right side
   442,716x = 957,387,885,444
5. Step 5: Solve for x
   x = 957,387,885,444/442,716
6. Step 6: Final answer
   x = 2,162,532.83