Finding the Third Proportional to 150,116 and 231,666

Step by Step Solution

1. Step 1: Write the proportion equation
   150,116 : 231,666 = 231,666 : x
2. Step 2: Convert to fraction form
   150,116/231,666 = 231,666/x
3. Step 3: Cross multiply
   150,116x = 231,666 × 231,666
4. Step 4: Simplify right side
   150,116x = 53,669,135,556
5. Step 5: Solve for x
   x = 53,669,135,556/150,116
6. Step 6: Final answer
   x = 357,517.76