Finding the Third Proportional to 356,494.50 and 774,468

Step by Step Solution

1. Step 1: Write the proportion equation
   356,494.50 : 774,468 = 774,468 : x
2. Step 2: Convert to fraction form
   356,494.50/774,468 = 774,468/x
3. Step 3: Cross multiply
   356,494.50x = 774,468 × 774,468
4. Step 4: Simplify right side
   356,494.50x = 599,800,683,024
5. Step 5: Solve for x
   x = 599,800,683,024/356,494.50
6. Step 6: Final answer
   x = 1,682,496.32