Finding the Third Proportional to 776,434 and 1,646,180

Step by Step Solution

1. Step 1: Write the proportion equation
   776,434 : 1,646,180 = 1,646,180 : x
2. Step 2: Convert to fraction form
   776,434/1,646,180 = 1,646,180/x
3. Step 3: Cross multiply
   776,434x = 1,646,180 × 1,646,180
4. Step 4: Simplify right side
   776,434x = 2,709,908,592,400
5. Step 5: Solve for x
   x = 2,709,908,592,400/776,434
6. Step 6: Final answer
   x = 3,490,198.26