Finding the Third Proportional to 1,024,692 and 1,646,366

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024,692 : 1,646,366 = 1,646,366 : x
2. Step 2: Convert to fraction form
   1,024,692/1,646,366 = 1,646,366/x
3. Step 3: Cross multiply
   1,024,692x = 1,646,366 × 1,646,366
4. Step 4: Simplify right side
   1,024,692x = 2,710,521,005,956
5. Step 5: Solve for x
   x = 2,710,521,005,956/1,024,692
6. Step 6: Final answer
   x = 2,645,205.59