Finding the Third Proportional to 175,082 and 356,578

Step by Step Solution

1. Step 1: Write the proportion equation
   175,082 : 356,578 = 356,578 : x
2. Step 2: Convert to fraction form
   175,082/356,578 = 356,578/x
3. Step 3: Cross multiply
   175,082x = 356,578 × 356,578
4. Step 4: Simplify right side
   175,082x = 127,147,870,084
5. Step 5: Solve for x
   x = 127,147,870,084/175,082
6. Step 6: Final answer
   x = 726,218.97