Finding the Third Proportional to 212,841 and 333,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,841 : 333,949.50 = 333,949.50 : x
2. Step 2: Convert to fraction form
   212,841/333,949.50 = 333,949.50/x
3. Step 3: Cross multiply
   212,841x = 333,949.50 × 333,949.50
4. Step 4: Simplify right side
   212,841x = 111,522,268,550.25
5. Step 5: Solve for x
   x = 111,522,268,550.25/212,841
6. Step 6: Final answer
   x = 523,969.86