Finding the Third Proportional to 145,344 and 339,384

Step by Step Solution

1. Step 1: Write the proportion equation
   145,344 : 339,384 = 339,384 : x
2. Step 2: Convert to fraction form
   145,344/339,384 = 339,384/x
3. Step 3: Cross multiply
   145,344x = 339,384 × 339,384
4. Step 4: Simplify right side
   145,344x = 115,181,499,456
5. Step 5: Solve for x
   x = 115,181,499,456/145,344
6. Step 6: Final answer
   x = 792,475.09