Finding the Third Proportional to 239,499 and 333,005

Step by Step Solution

1. Step 1: Write the proportion equation
   239,499 : 333,005 = 333,005 : x
2. Step 2: Convert to fraction form
   239,499/333,005 = 333,005/x
3. Step 3: Cross multiply
   239,499x = 333,005 × 333,005
4. Step 4: Simplify right side
   239,499x = 110,892,330,025
5. Step 5: Solve for x
   x = 110,892,330,025/239,499
6. Step 6: Final answer
   x = 463,017.93