Finding the Third Proportional to 456,087 and 978,591

Step by Step Solution

1. Step 1: Write the proportion equation
   456,087 : 978,591 = 978,591 : x
2. Step 2: Convert to fraction form
   456,087/978,591 = 978,591/x
3. Step 3: Cross multiply
   456,087x = 978,591 × 978,591
4. Step 4: Simplify right side
   456,087x = 957,640,345,281
5. Step 5: Solve for x
   x = 957,640,345,281/456,087
6. Step 6: Final answer
   x = 2,099,687.88