Finding the Third Proportional to 213,739 and 333,548

Step by Step Solution

1. Step 1: Write the proportion equation
   213,739 : 333,548 = 333,548 : x
2. Step 2: Convert to fraction form
   213,739/333,548 = 333,548/x
3. Step 3: Cross multiply
   213,739x = 333,548 × 333,548
4. Step 4: Simplify right side
   213,739x = 111,254,268,304
5. Step 5: Solve for x
   x = 111,254,268,304/213,739
6. Step 6: Final answer
   x = 520,514.59