Finding the Third Proportional to 774,494 and 1,686,780

Step by Step Solution

1. Step 1: Write the proportion equation
   774,494 : 1,686,780 = 1,686,780 : x
2. Step 2: Convert to fraction form
   774,494/1,686,780 = 1,686,780/x
3. Step 3: Cross multiply
   774,494x = 1,686,780 × 1,686,780
4. Step 4: Simplify right side
   774,494x = 2,845,226,768,400
5. Step 5: Solve for x
   x = 2,845,226,768,400/774,494
6. Step 6: Final answer
   x = 3,673,658.89