Finding the Third Proportional to 646,514 and 978,769

Step by Step Solution

1. Step 1: Write the proportion equation
   646,514 : 978,769 = 978,769 : x
2. Step 2: Convert to fraction form
   646,514/978,769 = 978,769/x
3. Step 3: Cross multiply
   646,514x = 978,769 × 978,769
4. Step 4: Simplify right side
   646,514x = 957,988,755,361
5. Step 5: Solve for x
   x = 957,988,755,361/646,514
6. Step 6: Final answer
   x = 1,481,775.73