Finding the Third Proportional to 152,982 and 333,183.38

Step by Step Solution

1. Step 1: Write the proportion equation
   152,982 : 333,183.38 = 333,183.38 : x
2. Step 2: Convert to fraction form
   152,982/333,183.38 = 333,183.38/x
3. Step 3: Cross multiply
   152,982x = 333,183.38 × 333,183.38
4. Step 4: Simplify right side
   152,982x = 111,011,161,376.39
5. Step 5: Solve for x
   x = 111,011,161,376.39/152,982
6. Step 6: Final answer
   x = 725,648.52