Finding the Third Proportional to 415,401.75 and 978,014.25

Step by Step Solution

1. Step 1: Write the proportion equation
   415,401.75 : 978,014.25 = 978,014.25 : x
2. Step 2: Convert to fraction form
   415,401.75/978,014.25 = 978,014.25/x
3. Step 3: Cross multiply
   415,401.75x = 978,014.25 × 978,014.25
4. Step 4: Simplify right side
   415,401.75x = 956,511,873,203.06
5. Step 5: Solve for x
   x = 956,511,873,203.06/415,401.75
6. Step 6: Final answer
   x = 2,302,618.79