Finding the Third Proportional to 213,730.50 and 333,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,730.50 : 333,535.50 = 333,535.50 : x
2. Step 2: Convert to fraction form
   213,730.50/333,535.50 = 333,535.50/x
3. Step 3: Cross multiply
   213,730.50x = 333,535.50 × 333,535.50
4. Step 4: Simplify right side
   213,730.50x = 111,245,929,760.25
5. Step 5: Solve for x
   x = 111,245,929,760.25/213,730.50
6. Step 6: Final answer
   x = 520,496.28