Finding the Third Proportional to 150,957 and 323,055

Step by Step Solution

1. Step 1: Write the proportion equation
   150,957 : 323,055 = 323,055 : x
2. Step 2: Convert to fraction form
   150,957/323,055 = 323,055/x
3. Step 3: Cross multiply
   150,957x = 323,055 × 323,055
4. Step 4: Simplify right side
   150,957x = 104,364,533,025
5. Step 5: Solve for x
   x = 104,364,533,025/150,957
6. Step 6: Final answer
   x = 691,352.72