Finding the Third Proportional to 152,413 and 333,864

Step by Step Solution

1. Step 1: Write the proportion equation
   152,413 : 333,864 = 333,864 : x
2. Step 2: Convert to fraction form
   152,413/333,864 = 333,864/x
3. Step 3: Cross multiply
   152,413x = 333,864 × 333,864
4. Step 4: Simplify right side
   152,413x = 111,465,170,496
5. Step 5: Solve for x
   x = 111,465,170,496/152,413
6. Step 6: Final answer
   x = 731,336.37