Finding the Third Proportional to 389,513.50 and 582,714

Step by Step Solution

1. Step 1: Write the proportion equation
   389,513.50 : 582,714 = 582,714 : x
2. Step 2: Convert to fraction form
   389,513.50/582,714 = 582,714/x
3. Step 3: Cross multiply
   389,513.50x = 582,714 × 582,714
4. Step 4: Simplify right side
   389,513.50x = 339,555,605,796
5. Step 5: Solve for x
   x = 339,555,605,796/389,513.50
6. Step 6: Final answer
   x = 871,742.84