Finding the Third Proportional to 213,744 and 333,556

Step by Step Solution

1. Step 1: Write the proportion equation
   213,744 : 333,556 = 333,556 : x
2. Step 2: Convert to fraction form
   213,744/333,556 = 333,556/x
3. Step 3: Cross multiply
   213,744x = 333,556 × 333,556
4. Step 4: Simplify right side
   213,744x = 111,259,605,136
5. Step 5: Solve for x
   x = 111,259,605,136/213,744
6. Step 6: Final answer
   x = 520,527.38