Finding the Third Proportional to 212,709 and 333,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,709 : 333,724.50 = 333,724.50 : x
2. Step 2: Convert to fraction form
   212,709/333,724.50 = 333,724.50/x
3. Step 3: Cross multiply
   212,709x = 333,724.50 × 333,724.50
4. Step 4: Simplify right side
   212,709x = 111,372,041,900.25
5. Step 5: Solve for x
   x = 111,372,041,900.25/212,709
6. Step 6: Final answer
   x = 523,588.76