Finding the Third Proportional to 150,696 and 204,666

Step by Step Solution

1. Step 1: Write the proportion equation
   150,696 : 204,666 = 204,666 : x
2. Step 2: Convert to fraction form
   150,696/204,666 = 204,666/x
3. Step 3: Cross multiply
   150,696x = 204,666 × 204,666
4. Step 4: Simplify right side
   150,696x = 41,888,171,556
5. Step 5: Solve for x
   x = 41,888,171,556/150,696
6. Step 6: Final answer
   x = 277,964.72