Finding the Third Proportional to 150,034 and 320,164

Step by Step Solution

1. Step 1: Write the proportion equation
   150,034 : 320,164 = 320,164 : x
2. Step 2: Convert to fraction form
   150,034/320,164 = 320,164/x
3. Step 3: Cross multiply
   150,034x = 320,164 × 320,164
4. Step 4: Simplify right side
   150,034x = 102,504,986,896
5. Step 5: Solve for x
   x = 102,504,986,896/150,034
6. Step 6: Final answer
   x = 683,211.72