Finding the Third Proportional to 212,909 and 333,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,909 : 333,991.50 = 333,991.50 : x
2. Step 2: Convert to fraction form
   212,909/333,991.50 = 333,991.50/x
3. Step 3: Cross multiply
   212,909x = 333,991.50 × 333,991.50
4. Step 4: Simplify right side
   212,909x = 111,550,322,072.25
5. Step 5: Solve for x
   x = 111,550,322,072.25/212,909
6. Step 6: Final answer
   x = 523,934.27