Finding the Third Proportional to 150,566 and 233,264

Step by Step Solution

1. Step 1: Write the proportion equation
   150,566 : 233,264 = 233,264 : x
2. Step 2: Convert to fraction form
   150,566/233,264 = 233,264/x
3. Step 3: Cross multiply
   150,566x = 233,264 × 233,264
4. Step 4: Simplify right side
   150,566x = 54,412,093,696
5. Step 5: Solve for x
   x = 54,412,093,696/150,566
6. Step 6: Final answer
   x = 361,383.67