Finding the Third Proportional to 150,024 and 354,144

Step by Step Solution

1. Step 1: Write the proportion equation
   150,024 : 354,144 = 354,144 : x
2. Step 2: Convert to fraction form
   150,024/354,144 = 354,144/x
3. Step 3: Cross multiply
   150,024x = 354,144 × 354,144
4. Step 4: Simplify right side
   150,024x = 125,417,972,736
5. Step 5: Solve for x
   x = 125,417,972,736/150,024
6. Step 6: Final answer
   x = 835,986.06