Finding the Third Proportional to 776,361 and 1,689,410

Step by Step Solution

1. Step 1: Write the proportion equation
   776,361 : 1,689,410 = 1,689,410 : x
2. Step 2: Convert to fraction form
   776,361/1,689,410 = 1,689,410/x
3. Step 3: Cross multiply
   776,361x = 1,689,410 × 1,689,410
4. Step 4: Simplify right side
   776,361x = 2,854,106,148,100
5. Step 5: Solve for x
   x = 2,854,106,148,100/776,361
6. Step 6: Final answer
   x = 3,676,261.62