Finding the Third Proportional to 150,643.50 and 233,256

Step by Step Solution

1. Step 1: Write the proportion equation
   150,643.50 : 233,256 = 233,256 : x
2. Step 2: Convert to fraction form
   150,643.50/233,256 = 233,256/x
3. Step 3: Cross multiply
   150,643.50x = 233,256 × 233,256
4. Step 4: Simplify right side
   150,643.50x = 54,408,361,536
5. Step 5: Solve for x
   x = 54,408,361,536/150,643.50
6. Step 6: Final answer
   x = 361,172.98