Finding the Third Proportional to 150,648 and 221,364

Step by Step Solution

1. Step 1: Write the proportion equation
   150,648 : 221,364 = 221,364 : x
2. Step 2: Convert to fraction form
   150,648/221,364 = 221,364/x
3. Step 3: Cross multiply
   150,648x = 221,364 × 221,364
4. Step 4: Simplify right side
   150,648x = 49,002,020,496
5. Step 5: Solve for x
   x = 49,002,020,496/150,648
6. Step 6: Final answer
   x = 325,274.95