Finding the Third Proportional to 105,082 and 225,716

Step by Step Solution

1. Step 1: Write the proportion equation
   105,082 : 225,716 = 225,716 : x
2. Step 2: Convert to fraction form
   105,082/225,716 = 225,716/x
3. Step 3: Cross multiply
   105,082x = 225,716 × 225,716
4. Step 4: Simplify right side
   105,082x = 50,947,712,656
5. Step 5: Solve for x
   x = 50,947,712,656/105,082
6. Step 6: Final answer
   x = 484,837.68