Finding the Third Proportional to 394,096.50 and 819,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   394,096.50 : 819,643.50 = 819,643.50 : x
2. Step 2: Convert to fraction form
   394,096.50/819,643.50 = 819,643.50/x
3. Step 3: Cross multiply
   394,096.50x = 819,643.50 × 819,643.50
4. Step 4: Simplify right side
   394,096.50x = 671,815,467,092.25
5. Step 5: Solve for x
   x = 671,815,467,092.25/394,096.50
6. Step 6: Final answer
   x = 1,704,697.88