Finding the Third Proportional to 382,304 and 831,064

Step by Step Solution

1. Step 1: Write the proportion equation
   382,304 : 831,064 = 831,064 : x
2. Step 2: Convert to fraction form
   382,304/831,064 = 831,064/x
3. Step 3: Cross multiply
   382,304x = 831,064 × 831,064
4. Step 4: Simplify right side
   382,304x = 690,667,372,096
5. Step 5: Solve for x
   x = 690,667,372,096/382,304
6. Step 6: Final answer
   x = 1,806,592.06