Finding the Third Proportional to 150,166 and 329,864

Step by Step Solution

1. Step 1: Write the proportion equation
   150,166 : 329,864 = 329,864 : x
2. Step 2: Convert to fraction form
   150,166/329,864 = 329,864/x
3. Step 3: Cross multiply
   150,166x = 329,864 × 329,864
4. Step 4: Simplify right side
   150,166x = 108,810,258,496
5. Step 5: Solve for x
   x = 108,810,258,496/150,166
6. Step 6: Final answer
   x = 724,599.83