Finding the Third Proportional to 1,335,198 and 2,869,464

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335,198 : 2,869,464 = 2,869,464 : x
2. Step 2: Convert to fraction form
   1,335,198/2,869,464 = 2,869,464/x
3. Step 3: Cross multiply
   1,335,198x = 2,869,464 × 2,869,464
4. Step 4: Simplify right side
   1,335,198x = 8,233,823,647,296
5. Step 5: Solve for x
   x = 8,233,823,647,296/1,335,198
6. Step 6: Final answer
   x = 6,166,743.54