Finding the Third Proportional to 150,852 and 223,666

Step by Step Solution

1. Step 1: Write the proportion equation
   150,852 : 223,666 = 223,666 : x
2. Step 2: Convert to fraction form
   150,852/223,666 = 223,666/x
3. Step 3: Cross multiply
   150,852x = 223,666 × 223,666
4. Step 4: Simplify right side
   150,852x = 50,026,479,556
5. Step 5: Solve for x
   x = 50,026,479,556/150,852
6. Step 6: Final answer
   x = 331,626.23