Finding the Third Proportional to 150,541 and 233,020

Step by Step Solution

1. Step 1: Write the proportion equation
   150,541 : 233,020 = 233,020 : x
2. Step 2: Convert to fraction form
   150,541/233,020 = 233,020/x
3. Step 3: Cross multiply
   150,541x = 233,020 × 233,020
4. Step 4: Simplify right side
   150,541x = 54,298,320,400
5. Step 5: Solve for x
   x = 54,298,320,400/150,541
6. Step 6: Final answer
   x = 360,687.92