Finding the Third Proportional to 1,077,198 and 1,638,180

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077,198 : 1,638,180 = 1,638,180 : x
2. Step 2: Convert to fraction form
   1,077,198/1,638,180 = 1,638,180/x
3. Step 3: Cross multiply
   1,077,198x = 1,638,180 × 1,638,180
4. Step 4: Simplify right side
   1,077,198x = 2,683,633,712,400
5. Step 5: Solve for x
   x = 2,683,633,712,400/1,077,198
6. Step 6: Final answer
   x = 2,491,309.59