Finding the Third Proportional to 152,991 and 333,198

Step by Step Solution

1. Step 1: Write the proportion equation
   152,991 : 333,198 = 333,198 : x
2. Step 2: Convert to fraction form
   152,991/333,198 = 333,198/x
3. Step 3: Cross multiply
   152,991x = 333,198 × 333,198
4. Step 4: Simplify right side
   152,991x = 111,020,907,204
5. Step 5: Solve for x
   x = 111,020,907,204/152,991
6. Step 6: Final answer
   x = 725,669.53