Finding the Third Proportional to 391,982 and 831,066

Step by Step Solution

1. Step 1: Write the proportion equation
   391,982 : 831,066 = 831,066 : x
2. Step 2: Convert to fraction form
   391,982/831,066 = 831,066/x
3. Step 3: Cross multiply
   391,982x = 831,066 × 831,066
4. Step 4: Simplify right side
   391,982x = 690,670,696,356
5. Step 5: Solve for x
   x = 690,670,696,356/391,982
6. Step 6: Final answer
   x = 1,761,995.95