Finding the Third Proportional to 565,443 and 831,204

Step by Step Solution

1. Step 1: Write the proportion equation
   565,443 : 831,204 = 831,204 : x
2. Step 2: Convert to fraction form
   565,443/831,204 = 831,204/x
3. Step 3: Cross multiply
   565,443x = 831,204 × 831,204
4. Step 4: Simplify right side
   565,443x = 690,900,089,616
5. Step 5: Solve for x
   x = 690,900,089,616/565,443
6. Step 6: Final answer
   x = 1,221,873.98