Finding the Third Proportional to 821,226 and 1,755,945

Step by Step Solution

1. Step 1: Write the proportion equation
   821,226 : 1,755,945 = 1,755,945 : x
2. Step 2: Convert to fraction form
   821,226/1,755,945 = 1,755,945/x
3. Step 3: Cross multiply
   821,226x = 1,755,945 × 1,755,945
4. Step 4: Simplify right side
   821,226x = 3,083,342,843,025
5. Step 5: Solve for x
   x = 3,083,342,843,025/821,226
6. Step 6: Final answer
   x = 3,754,560.67