Finding the Third Proportional to 774,766 and 1,686,764

Step by Step Solution

1. Step 1: Write the proportion equation
   774,766 : 1,686,764 = 1,686,764 : x
2. Step 2: Convert to fraction form
   774,766/1,686,764 = 1,686,764/x
3. Step 3: Cross multiply
   774,766x = 1,686,764 × 1,686,764
4. Step 4: Simplify right side
   774,766x = 2,845,172,791,696
5. Step 5: Solve for x
   x = 2,845,172,791,696/774,766
6. Step 6: Final answer
   x = 3,672,299.50