Finding the Third Proportional to 150,414 and 326,766

Step by Step Solution

1. Step 1: Write the proportion equation
   150,414 : 326,766 = 326,766 : x
2. Step 2: Convert to fraction form
   150,414/326,766 = 326,766/x
3. Step 3: Cross multiply
   150,414x = 326,766 × 326,766
4. Step 4: Simplify right side
   150,414x = 106,776,018,756
5. Step 5: Solve for x
   x = 106,776,018,756/150,414
6. Step 6: Final answer
   x = 709,880.85