Finding the Third Proportional to 822,000 and 1,227,456

Step by Step Solution

1. Step 1: Write the proportion equation
   822,000 : 1,227,456 = 1,227,456 : x
2. Step 2: Convert to fraction form
   822,000/1,227,456 = 1,227,456/x
3. Step 3: Cross multiply
   822,000x = 1,227,456 × 1,227,456
4. Step 4: Simplify right side
   822,000x = 1,506,648,231,936
5. Step 5: Solve for x
   x = 1,506,648,231,936/822,000
6. Step 6: Final answer
   x = 1,832,905.39