Finding the Third Proportional to 456,077 and 978,571

Step by Step Solution

1. Step 1: Write the proportion equation
   456,077 : 978,571 = 978,571 : x
2. Step 2: Convert to fraction form
   456,077/978,571 = 978,571/x
3. Step 3: Cross multiply
   456,077x = 978,571 × 978,571
4. Step 4: Simplify right side
   456,077x = 957,601,202,041
5. Step 5: Solve for x
   x = 957,601,202,041/456,077
6. Step 6: Final answer
   x = 2,099,648.09