Finding the Third Proportional to 774,762 and 1,686,756

Step by Step Solution

1. Step 1: Write the proportion equation
   774,762 : 1,686,756 = 1,686,756 : x
2. Step 2: Convert to fraction form
   774,762/1,686,756 = 1,686,756/x
3. Step 3: Cross multiply
   774,762x = 1,686,756 × 1,686,756
4. Step 4: Simplify right side
   774,762x = 2,845,145,803,536
5. Step 5: Solve for x
   x = 2,845,145,803,536/774,762
6. Step 6: Final answer
   x = 3,672,283.62