Finding the Third Proportional to 150,739 and 233,191

Step by Step Solution

1. Step 1: Write the proportion equation
   150,739 : 233,191 = 233,191 : x
2. Step 2: Convert to fraction form
   150,739/233,191 = 233,191/x
3. Step 3: Cross multiply
   150,739x = 233,191 × 233,191
4. Step 4: Simplify right side
   150,739x = 54,378,042,481
5. Step 5: Solve for x
   x = 54,378,042,481/150,739
6. Step 6: Final answer
   x = 360,743.02