Finding the Third Proportional to 415,406 and 978,024

Step by Step Solution

1. Step 1: Write the proportion equation
   415,406 : 978,024 = 978,024 : x
2. Step 2: Convert to fraction form
   415,406/978,024 = 978,024/x
3. Step 3: Cross multiply
   415,406x = 978,024 × 978,024
4. Step 4: Simplify right side
   415,406x = 956,530,944,576
5. Step 5: Solve for x
   x = 956,530,944,576/415,406
6. Step 6: Final answer
   x = 2,302,641.14