Finding the Third Proportional to 382,113 and 809,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,113 : 809,743.50 = 809,743.50 : x
2. Step 2: Convert to fraction form
   382,113/809,743.50 = 809,743.50/x
3. Step 3: Cross multiply
   382,113x = 809,743.50 × 809,743.50
4. Step 4: Simplify right side
   382,113x = 655,684,535,792.25
5. Step 5: Solve for x
   x = 655,684,535,792.25/382,113
6. Step 6: Final answer
   x = 1,715,944.07