Finding the Third Proportional to 213,434 and 321,558

Step by Step Solution

1. Step 1: Write the proportion equation
   213,434 : 321,558 = 321,558 : x
2. Step 2: Convert to fraction form
   213,434/321,558 = 321,558/x
3. Step 3: Cross multiply
   213,434x = 321,558 × 321,558
4. Step 4: Simplify right side
   213,434x = 103,399,547,364
5. Step 5: Solve for x
   x = 103,399,547,364/213,434
6. Step 6: Final answer
   x = 484,456.78