Finding the Third Proportional to 152,832 and 332,016

Step by Step Solution

1. Step 1: Write the proportion equation
   152,832 : 332,016 = 332,016 : x
2. Step 2: Convert to fraction form
   152,832/332,016 = 332,016/x
3. Step 3: Cross multiply
   152,832x = 332,016 × 332,016
4. Step 4: Simplify right side
   152,832x = 110,234,624,256
5. Step 5: Solve for x
   x = 110,234,624,256/152,832
6. Step 6: Final answer
   x = 721,279.73