Finding the Third Proportional to 646,506 and 978,757

Step by Step Solution

1. Step 1: Write the proportion equation
   646,506 : 978,757 = 978,757 : x
2. Step 2: Convert to fraction form
   646,506/978,757 = 978,757/x
3. Step 3: Cross multiply
   646,506x = 978,757 × 978,757
4. Step 4: Simplify right side
   646,506x = 957,965,265,049
5. Step 5: Solve for x
   x = 957,965,265,049/646,506
6. Step 6: Final answer
   x = 1,481,757.73