Finding the Third Proportional to 1,022,598 and 1,600,641

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022,598 : 1,600,641 = 1,600,641 : x
2. Step 2: Convert to fraction form
   1,022,598/1,600,641 = 1,600,641/x
3. Step 3: Cross multiply
   1,022,598x = 1,600,641 × 1,600,641
4. Step 4: Simplify right side
   1,022,598x = 2,562,051,610,881
5. Step 5: Solve for x
   x = 2,562,051,610,881/1,022,598
6. Step 6: Final answer
   x = 2,505,433.82