Finding the Third Proportional to 1,199,824 and 1,687,466

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199,824 : 1,687,466 = 1,687,466 : x
2. Step 2: Convert to fraction form
   1,199,824/1,687,466 = 1,687,466/x
3. Step 3: Cross multiply
   1,199,824x = 1,687,466 × 1,687,466
4. Step 4: Simplify right side
   1,199,824x = 2,847,541,501,156
5. Step 5: Solve for x
   x = 2,847,541,501,156/1,199,824
6. Step 6: Final answer
   x = 2,373,299.33