Finding the Third Proportional to 150,740 and 233,302

Step by Step Solution

1. Step 1: Write the proportion equation
   150,740 : 233,302 = 233,302 : x
2. Step 2: Convert to fraction form
   150,740/233,302 = 233,302/x
3. Step 3: Cross multiply
   150,740x = 233,302 × 233,302
4. Step 4: Simplify right side
   150,740x = 54,429,823,204
5. Step 5: Solve for x
   x = 54,429,823,204/150,740
6. Step 6: Final answer
   x = 361,084.14