Finding the Third Proportional to 820,832 and 1,233,624

Step by Step Solution

1. Step 1: Write the proportion equation
   820,832 : 1,233,624 = 1,233,624 : x
2. Step 2: Convert to fraction form
   820,832/1,233,624 = 1,233,624/x
3. Step 3: Cross multiply
   820,832x = 1,233,624 × 1,233,624
4. Step 4: Simplify right side
   820,832x = 1,521,828,173,376
5. Step 5: Solve for x
   x = 1,521,828,173,376/820,832
6. Step 6: Final answer
   x = 1,854,006.88