Finding the Third Proportional to 223,942.50 and 339,468

Step by Step Solution

1. Step 1: Write the proportion equation
   223,942.50 : 339,468 = 339,468 : x
2. Step 2: Convert to fraction form
   223,942.50/339,468 = 339,468/x
3. Step 3: Cross multiply
   223,942.50x = 339,468 × 339,468
4. Step 4: Simplify right side
   223,942.50x = 115,238,523,024
5. Step 5: Solve for x
   x = 115,238,523,024/223,942.50
6. Step 6: Final answer
   x = 514,589.79