Finding the Third Proportional to 150,947 and 323,030

Step by Step Solution

1. Step 1: Write the proportion equation
   150,947 : 323,030 = 323,030 : x
2. Step 2: Convert to fraction form
   150,947/323,030 = 323,030/x
3. Step 3: Cross multiply
   150,947x = 323,030 × 323,030
4. Step 4: Simplify right side
   150,947x = 104,348,380,900
5. Step 5: Solve for x
   x = 104,348,380,900/150,947
6. Step 6: Final answer
   x = 691,291.52