Finding the Third Proportional to 223,638 and 339,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   223,638 : 339,010.50 = 339,010.50 : x
2. Step 2: Convert to fraction form
   223,638/339,010.50 = 339,010.50/x
3. Step 3: Cross multiply
   223,638x = 339,010.50 × 339,010.50
4. Step 4: Simplify right side
   223,638x = 114,928,119,110.25
5. Step 5: Solve for x
   x = 114,928,119,110.25/223,638
6. Step 6: Final answer
   x = 513,902.46