Finding the Third Proportional to 665,638 and 1,457,892

Step by Step Solution

1. Step 1: Write the proportion equation
   665,638 : 1,457,892 = 1,457,892 : x
2. Step 2: Convert to fraction form
   665,638/1,457,892 = 1,457,892/x
3. Step 3: Cross multiply
   665,638x = 1,457,892 × 1,457,892
4. Step 4: Simplify right side
   665,638x = 2,125,449,083,664
5. Step 5: Solve for x
   x = 2,125,449,083,664/665,638
6. Step 6: Final answer
   x = 3,193,100.58