Finding the Third Proportional to 415,408 and 978,030

Step by Step Solution

1. Step 1: Write the proportion equation
   415,408 : 978,030 = 978,030 : x
2. Step 2: Convert to fraction form
   415,408/978,030 = 978,030/x
3. Step 3: Cross multiply
   415,408x = 978,030 × 978,030
4. Step 4: Simplify right side
   415,408x = 956,542,680,900
5. Step 5: Solve for x
   x = 956,542,680,900/415,408
6. Step 6: Final answer
   x = 2,302,658.30