Finding the Third Proportional to 416,298 and 982,401

Step by Step Solution

1. Step 1: Write the proportion equation
   416,298 : 982,401 = 982,401 : x
2. Step 2: Convert to fraction form
   416,298/982,401 = 982,401/x
3. Step 3: Cross multiply
   416,298x = 982,401 × 982,401
4. Step 4: Simplify right side
   416,298x = 965,111,724,801
5. Step 5: Solve for x
   x = 965,111,724,801/416,298
6. Step 6: Final answer
   x = 2,318,319.39