Finding the Third Proportional to 565,444 and 831,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   565,444 : 831,205.50 = 831,205.50 : x
2. Step 2: Convert to fraction form
   565,444/831,205.50 = 831,205.50/x
3. Step 3: Cross multiply
   565,444x = 831,205.50 × 831,205.50
4. Step 4: Simplify right side
   565,444x = 690,902,583,230.25
5. Step 5: Solve for x
   x = 690,902,583,230.25/565,444
6. Step 6: Final answer
   x = 1,221,876.23