Finding the Third Proportional to 150,688 and 233,474

Step by Step Solution

1. Step 1: Write the proportion equation
   150,688 : 233,474 = 233,474 : x
2. Step 2: Convert to fraction form
   150,688/233,474 = 233,474/x
3. Step 3: Cross multiply
   150,688x = 233,474 × 233,474
4. Step 4: Simplify right side
   150,688x = 54,510,108,676
5. Step 5: Solve for x
   x = 54,510,108,676/150,688
6. Step 6: Final answer
   x = 361,741.54