Finding the Third Proportional to 382,068 and 820,494

Step by Step Solution

1. Step 1: Write the proportion equation
   382,068 : 820,494 = 820,494 : x
2. Step 2: Convert to fraction form
   382,068/820,494 = 820,494/x
3. Step 3: Cross multiply
   382,068x = 820,494 × 820,494
4. Step 4: Simplify right side
   382,068x = 673,210,404,036
5. Step 5: Solve for x
   x = 673,210,404,036/382,068
6. Step 6: Final answer
   x = 1,762,017.24