Finding the Third Proportional to 150,762 and 221,648

Step by Step Solution

1. Step 1: Write the proportion equation
   150,762 : 221,648 = 221,648 : x
2. Step 2: Convert to fraction form
   150,762/221,648 = 221,648/x
3. Step 3: Cross multiply
   150,762x = 221,648 × 221,648
4. Step 4: Simplify right side
   150,762x = 49,127,835,904
5. Step 5: Solve for x
   x = 49,127,835,904/150,762
6. Step 6: Final answer
   x = 325,863.52