Finding the Third Proportional to 375,216 and 820,496

Step by Step Solution

1. Step 1: Write the proportion equation
   375,216 : 820,496 = 820,496 : x
2. Step 2: Convert to fraction form
   375,216/820,496 = 820,496/x
3. Step 3: Cross multiply
   375,216x = 820,496 × 820,496
4. Step 4: Simplify right side
   375,216x = 673,213,686,016
5. Step 5: Solve for x
   x = 673,213,686,016/375,216
6. Step 6: Final answer
   x = 1,794,203.04