Finding the Third Proportional to 231,968 and 339,760

Step by Step Solution

1. Step 1: Write the proportion equation
   231,968 : 339,760 = 339,760 : x
2. Step 2: Convert to fraction form
   231,968/339,760 = 339,760/x
3. Step 3: Cross multiply
   231,968x = 339,760 × 339,760
4. Step 4: Simplify right side
   231,968x = 115,436,857,600
5. Step 5: Solve for x
   x = 115,436,857,600/231,968
6. Step 6: Final answer
   x = 497,641.30