Finding the Third Proportional to 389,517 and 582,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   389,517 : 582,719.50 = 582,719.50 : x
2. Step 2: Convert to fraction form
   389,517/582,719.50 = 582,719.50/x
3. Step 3: Cross multiply
   389,517x = 582,719.50 × 582,719.50
4. Step 4: Simplify right side
   389,517x = 339,562,015,680.25
5. Step 5: Solve for x
   x = 339,562,015,680.25/389,517
6. Step 6: Final answer
   x = 871,751.47