Finding the Third Proportional to 382,066 and 820,504

Step by Step Solution

1. Step 1: Write the proportion equation
   382,066 : 820,504 = 820,504 : x
2. Step 2: Convert to fraction form
   382,066/820,504 = 820,504/x
3. Step 3: Cross multiply
   382,066x = 820,504 × 820,504
4. Step 4: Simplify right side
   382,066x = 673,226,814,016
5. Step 5: Solve for x
   x = 673,226,814,016/382,066
6. Step 6: Final answer
   x = 1,762,069.42