Finding the Third Proportional to 315,082 and 470,562

Step by Step Solution

1. Step 1: Write the proportion equation
   315,082 : 470,562 = 470,562 : x
2. Step 2: Convert to fraction form
   315,082/470,562 = 470,562/x
3. Step 3: Cross multiply
   315,082x = 470,562 × 470,562
4. Step 4: Simplify right side
   315,082x = 221,428,595,844
5. Step 5: Solve for x
   x = 221,428,595,844/315,082
6. Step 6: Final answer
   x = 702,764.98