Finding the Third Proportional to 821,228 and 1,755,949

Step by Step Solution

1. Step 1: Write the proportion equation
   821,228 : 1,755,949 = 1,755,949 : x
2. Step 2: Convert to fraction form
   821,228/1,755,949 = 1,755,949/x
3. Step 3: Cross multiply
   821,228x = 1,755,949 × 1,755,949
4. Step 4: Simplify right side
   821,228x = 3,083,356,890,601
5. Step 5: Solve for x
   x = 3,083,356,890,601/821,228
6. Step 6: Final answer
   x = 3,754,568.63