Finding the Third Proportional to 534,969 and 831,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   534,969 : 831,022.50 = 831,022.50 : x
2. Step 2: Convert to fraction form
   534,969/831,022.50 = 831,022.50/x
3. Step 3: Cross multiply
   534,969x = 831,022.50 × 831,022.50
4. Step 4: Simplify right side
   534,969x = 690,598,395,506.25
5. Step 5: Solve for x
   x = 690,598,395,506.25/534,969
6. Step 6: Final answer
   x = 1,290,912.92