Finding the Third Proportional to 646,320 and 1,382,496

Step by Step Solution

1. Step 1: Write the proportion equation
   646,320 : 1,382,496 = 1,382,496 : x
2. Step 2: Convert to fraction form
   646,320/1,382,496 = 1,382,496/x
3. Step 3: Cross multiply
   646,320x = 1,382,496 × 1,382,496
4. Step 4: Simplify right side
   646,320x = 1,911,295,190,016
5. Step 5: Solve for x
   x = 1,911,295,190,016/646,320
6. Step 6: Final answer
   x = 2,957,196.42