Finding the Third Proportional to 1,205,328 and 1,823,541

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205,328 : 1,823,541 = 1,823,541 : x
2. Step 2: Convert to fraction form
   1,205,328/1,823,541 = 1,823,541/x
3. Step 3: Cross multiply
   1,205,328x = 1,823,541 × 1,823,541
4. Step 4: Simplify right side
   1,205,328x = 3,325,301,778,681
5. Step 5: Solve for x
   x = 3,325,301,778,681/1,205,328
6. Step 6: Final answer
   x = 2,758,835.59