Finding the Third Proportional to 442,713 and 978,455

Step by Step Solution

1. Step 1: Write the proportion equation
   442,713 : 978,455 = 978,455 : x
2. Step 2: Convert to fraction form
   442,713/978,455 = 978,455/x
3. Step 3: Cross multiply
   442,713x = 978,455 × 978,455
4. Step 4: Simplify right side
   442,713x = 957,374,187,025
5. Step 5: Solve for x
   x = 957,374,187,025/442,713
6. Step 6: Final answer
   x = 2,162,516.54