Finding the Third Proportional to 382,064 and 820,510

Step by Step Solution

1. Step 1: Write the proportion equation
   382,064 : 820,510 = 820,510 : x
2. Step 2: Convert to fraction form
   382,064/820,510 = 820,510/x
3. Step 3: Cross multiply
   382,064x = 820,510 × 820,510
4. Step 4: Simplify right side
   382,064x = 673,236,660,100
5. Step 5: Solve for x
   x = 673,236,660,100/382,064
6. Step 6: Final answer
   x = 1,762,104.41