Finding the Third Proportional to 1,024,737 and 1,646,456

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024,737 : 1,646,456 = 1,646,456 : x
2. Step 2: Convert to fraction form
   1,024,737/1,646,456 = 1,646,456/x
3. Step 3: Cross multiply
   1,024,737x = 1,646,456 × 1,646,456
4. Step 4: Simplify right side
   1,024,737x = 2,710,817,359,936
5. Step 5: Solve for x
   x = 2,710,817,359,936/1,024,737
6. Step 6: Final answer
   x = 2,645,378.63