Finding the Third Proportional to 774,643 and 1,677,924

Step by Step Solution

1. Step 1: Write the proportion equation
   774,643 : 1,677,924 = 1,677,924 : x
2. Step 2: Convert to fraction form
   774,643/1,677,924 = 1,677,924/x
3. Step 3: Cross multiply
   774,643x = 1,677,924 × 1,677,924
4. Step 4: Simplify right side
   774,643x = 2,815,428,949,776
5. Step 5: Solve for x
   x = 2,815,428,949,776/774,643
6. Step 6: Final answer
   x = 3,634,485.76