Finding the Third Proportional to 415,049.50 and 582,884

Step by Step Solution

1. Step 1: Write the proportion equation
   415,049.50 : 582,884 = 582,884 : x
2. Step 2: Convert to fraction form
   415,049.50/582,884 = 582,884/x
3. Step 3: Cross multiply
   415,049.50x = 582,884 × 582,884
4. Step 4: Simplify right side
   415,049.50x = 339,753,757,456
5. Step 5: Solve for x
   x = 339,753,757,456/415,049.50
6. Step 6: Final answer
   x = 818,586.11