Finding the Third Proportional to 447,509 and 978,306

Step by Step Solution

1. Step 1: Write the proportion equation
   447,509 : 978,306 = 978,306 : x
2. Step 2: Convert to fraction form
   447,509/978,306 = 978,306/x
3. Step 3: Cross multiply
   447,509x = 978,306 × 978,306
4. Step 4: Simplify right side
   447,509x = 957,082,629,636
5. Step 5: Solve for x
   x = 957,082,629,636/447,509
6. Step 6: Final answer
   x = 2,138,689.12