Finding the Third Proportional to 820,684 and 1,227,745

Step by Step Solution

1. Step 1: Write the proportion equation
   820,684 : 1,227,745 = 1,227,745 : x
2. Step 2: Convert to fraction form
   820,684/1,227,745 = 1,227,745/x
3. Step 3: Cross multiply
   820,684x = 1,227,745 × 1,227,745
4. Step 4: Simplify right side
   820,684x = 1,507,357,785,025
5. Step 5: Solve for x
   x = 1,507,357,785,025/820,684
6. Step 6: Final answer
   x = 1,836,709.12