Finding the Third Proportional to 365,742 and 782,183.25

Step by Step Solution

1. Step 1: Write the proportion equation
   365,742 : 782,183.25 = 782,183.25 : x
2. Step 2: Convert to fraction form
   365,742/782,183.25 = 782,183.25/x
3. Step 3: Cross multiply
   365,742x = 782,183.25 × 782,183.25
4. Step 4: Simplify right side
   365,742x = 611,810,636,580.56
5. Step 5: Solve for x
   x = 611,810,636,580.56/365,742
6. Step 6: Final answer
   x = 1,672,792.94