Finding the Third Proportional to 258,019 and 582,932.75

Step by Step Solution

1. Step 1: Write the proportion equation
   258,019 : 582,932.75 = 582,932.75 : x
2. Step 2: Convert to fraction form
   258,019/582,932.75 = 582,932.75/x
3. Step 3: Cross multiply
   258,019x = 582,932.75 × 582,932.75
4. Step 4: Simplify right side
   258,019x = 339,810,591,022.56
5. Step 5: Solve for x
   x = 339,810,591,022.56/258,019
6. Step 6: Final answer
   x = 1,316,998.33