Finding the Third Proportional to 774,756 and 1,686,696

Step by Step Solution

1. Step 1: Write the proportion equation
   774,756 : 1,686,696 = 1,686,696 : x
2. Step 2: Convert to fraction form
   774,756/1,686,696 = 1,686,696/x
3. Step 3: Cross multiply
   774,756x = 1,686,696 × 1,686,696
4. Step 4: Simplify right side
   774,756x = 2,844,943,396,416
5. Step 5: Solve for x
   x = 2,844,943,396,416/774,756
6. Step 6: Final answer
   x = 3,672,050.81