Finding the Third Proportional to 774,493.50 and 1,686,780

Step by Step Solution

1. Step 1: Write the proportion equation
   774,493.50 : 1,686,780 = 1,686,780 : x
2. Step 2: Convert to fraction form
   774,493.50/1,686,780 = 1,686,780/x
3. Step 3: Cross multiply
   774,493.50x = 1,686,780 × 1,686,780
4. Step 4: Simplify right side
   774,493.50x = 2,845,226,768,400
5. Step 5: Solve for x
   x = 2,845,226,768,400/774,493.50
6. Step 6: Final answer
   x = 3,673,661.26