Finding the Third Proportional to 774,420 and 1,677,524

Step by Step Solution

1. Step 1: Write the proportion equation
   774,420 : 1,677,524 = 1,677,524 : x
2. Step 2: Convert to fraction form
   774,420/1,677,524 = 1,677,524/x
3. Step 3: Cross multiply
   774,420x = 1,677,524 × 1,677,524
4. Step 4: Simplify right side
   774,420x = 2,814,086,770,576
5. Step 5: Solve for x
   x = 2,814,086,770,576/774,420
6. Step 6: Final answer
   x = 3,633,799.19