Finding the Third Proportional to 227,678.25 and 339,672

Step by Step Solution

1. Step 1: Write the proportion equation
   227,678.25 : 339,672 = 339,672 : x
2. Step 2: Convert to fraction form
   227,678.25/339,672 = 339,672/x
3. Step 3: Cross multiply
   227,678.25x = 339,672 × 339,672
4. Step 4: Simplify right side
   227,678.25x = 115,377,067,584
5. Step 5: Solve for x
   x = 115,377,067,584/227,678.25
6. Step 6: Final answer
   x = 506,754.89