Finding the Third Proportional to 150,472 and 233,744

Step by Step Solution

1. Step 1: Write the proportion equation
   150,472 : 233,744 = 233,744 : x
2. Step 2: Convert to fraction form
   150,472/233,744 = 233,744/x
3. Step 3: Cross multiply
   150,472x = 233,744 × 233,744
4. Step 4: Simplify right side
   150,472x = 54,636,257,536
5. Step 5: Solve for x
   x = 54,636,257,536/150,472
6. Step 6: Final answer
   x = 363,099.16