Finding the Third Proportional to 227,788 and 339,834

Step by Step Solution

1. Step 1: Write the proportion equation
   227,788 : 339,834 = 339,834 : x
2. Step 2: Convert to fraction form
   227,788/339,834 = 339,834/x
3. Step 3: Cross multiply
   227,788x = 339,834 × 339,834
4. Step 4: Simplify right side
   227,788x = 115,487,147,556
5. Step 5: Solve for x
   x = 115,487,147,556/227,788
6. Step 6: Final answer
   x = 506,993.99