Finding the Third Proportional to 150,744 and 238,644

Step by Step Solution

1. Step 1: Write the proportion equation
   150,744 : 238,644 = 238,644 : x
2. Step 2: Convert to fraction form
   150,744/238,644 = 238,644/x
3. Step 3: Cross multiply
   150,744x = 238,644 × 238,644
4. Step 4: Simplify right side
   150,744x = 56,950,958,736
5. Step 5: Solve for x
   x = 56,950,958,736/150,744
6. Step 6: Final answer
   x = 377,799.17