Finding the Third Proportional to 430,989 and 682,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   430,989 : 682,114.50 = 682,114.50 : x
2. Step 2: Convert to fraction form
   430,989/682,114.50 = 682,114.50/x
3. Step 3: Cross multiply
   430,989x = 682,114.50 × 682,114.50
4. Step 4: Simplify right side
   430,989x = 465,280,191,110.25
5. Step 5: Solve for x
   x = 465,280,191,110.25/430,989
6. Step 6: Final answer
   x = 1,079,563.96