Finding the Third Proportional to 377,078 and 820,496

Step by Step Solution

1. Step 1: Write the proportion equation
   377,078 : 820,496 = 820,496 : x
2. Step 2: Convert to fraction form
   377,078/820,496 = 820,496/x
3. Step 3: Cross multiply
   377,078x = 820,496 × 820,496
4. Step 4: Simplify right side
   377,078x = 673,213,686,016
5. Step 5: Solve for x
   x = 673,213,686,016/377,078
6. Step 6: Final answer
   x = 1,785,343.31