Finding the Third Proportional to 213,758 and 333,578

Step by Step Solution

1. Step 1: Write the proportion equation
   213,758 : 333,578 = 333,578 : x
2. Step 2: Convert to fraction form
   213,758/333,578 = 333,578/x
3. Step 3: Cross multiply
   213,758x = 333,578 × 333,578
4. Step 4: Simplify right side
   213,758x = 111,274,282,084
5. Step 5: Solve for x
   x = 111,274,282,084/213,758
6. Step 6: Final answer
   x = 520,561.95