Finding the Third Proportional to 1,022,600 and 1,600,644

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022,600 : 1,600,644 = 1,600,644 : x
2. Step 2: Convert to fraction form
   1,022,600/1,600,644 = 1,600,644/x
3. Step 3: Cross multiply
   1,022,600x = 1,600,644 × 1,600,644
4. Step 4: Simplify right side
   1,022,600x = 2,562,061,214,736
5. Step 5: Solve for x
   x = 2,562,061,214,736/1,022,600
6. Step 6: Final answer
   x = 2,505,438.31