Finding the Third Proportional to 213,729 and 333,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,729 : 333,532.50 = 333,532.50 : x
2. Step 2: Convert to fraction form
   213,729/333,532.50 = 333,532.50/x
3. Step 3: Cross multiply
   213,729x = 333,532.50 × 333,532.50
4. Step 4: Simplify right side
   213,729x = 111,243,928,556.25
5. Step 5: Solve for x
   x = 111,243,928,556.25/213,729
6. Step 6: Final answer
   x = 520,490.57