Finding the Third Proportional to 150,938 and 233,802

Step by Step Solution

1. Step 1: Write the proportion equation
   150,938 : 233,802 = 233,802 : x
2. Step 2: Convert to fraction form
   150,938/233,802 = 233,802/x
3. Step 3: Cross multiply
   150,938x = 233,802 × 233,802
4. Step 4: Simplify right side
   150,938x = 54,663,375,204
5. Step 5: Solve for x
   x = 54,663,375,204/150,938
6. Step 6: Final answer
   x = 362,157.81