Finding the Third Proportional to 150,716 and 233,002

Step by Step Solution

1. Step 1: Write the proportion equation
   150,716 : 233,002 = 233,002 : x
2. Step 2: Convert to fraction form
   150,716/233,002 = 233,002/x
3. Step 3: Cross multiply
   150,716x = 233,002 × 233,002
4. Step 4: Simplify right side
   150,716x = 54,289,932,004
5. Step 5: Solve for x
   x = 54,289,932,004/150,716
6. Step 6: Final answer
   x = 360,213.46