Finding the Third Proportional to 646,683 and 978,971

Step by Step Solution

1. Step 1: Write the proportion equation
   646,683 : 978,971 = 978,971 : x
2. Step 2: Convert to fraction form
   646,683/978,971 = 978,971/x
3. Step 3: Cross multiply
   646,683x = 978,971 × 978,971
4. Step 4: Simplify right side
   646,683x = 958,384,218,841
5. Step 5: Solve for x
   x = 958,384,218,841/646,683
6. Step 6: Final answer
   x = 1,482,000.02