Finding the Third Proportional to 646,516 and 978,772

Step by Step Solution

1. Step 1: Write the proportion equation
   646,516 : 978,772 = 978,772 : x
2. Step 2: Convert to fraction form
   646,516/978,772 = 978,772/x
3. Step 3: Cross multiply
   646,516x = 978,772 × 978,772
4. Step 4: Simplify right side
   646,516x = 957,994,627,984
5. Step 5: Solve for x
   x = 957,994,627,984/646,516
6. Step 6: Final answer
   x = 1,481,780.23