Finding the Third Proportional to 774,767 and 1,686,766

Step by Step Solution

1. Step 1: Write the proportion equation
   774,767 : 1,686,766 = 1,686,766 : x
2. Step 2: Convert to fraction form
   774,767/1,686,766 = 1,686,766/x
3. Step 3: Cross multiply
   774,767x = 1,686,766 × 1,686,766
4. Step 4: Simplify right side
   774,767x = 2,845,179,538,756
5. Step 5: Solve for x
   x = 2,845,179,538,756/774,767
6. Step 6: Final answer
   x = 3,672,303.47