Finding the Third Proportional to 150,589 and 233,174

Step by Step Solution

1. Step 1: Write the proportion equation
   150,589 : 233,174 = 233,174 : x
2. Step 2: Convert to fraction form
   150,589/233,174 = 233,174/x
3. Step 3: Cross multiply
   150,589x = 233,174 × 233,174
4. Step 4: Simplify right side
   150,589x = 54,370,114,276
5. Step 5: Solve for x
   x = 54,370,114,276/150,589
6. Step 6: Final answer
   x = 361,049.71