Finding the Third Proportional to 233,934 and 333,405

Step by Step Solution

1. Step 1: Write the proportion equation
   233,934 : 333,405 = 333,405 : x
2. Step 2: Convert to fraction form
   233,934/333,405 = 333,405/x
3. Step 3: Cross multiply
   233,934x = 333,405 × 333,405
4. Step 4: Simplify right side
   233,934x = 111,158,894,025
5. Step 5: Solve for x
   x = 111,158,894,025/233,934
6. Step 6: Final answer
   x = 475,172.03