Finding the Third Proportional to 101,016 and 150,648

Step by Step Solution

1. Step 1: Write the proportion equation
   101,016 : 150,648 = 150,648 : x
2. Step 2: Convert to fraction form
   101,016/150,648 = 150,648/x
3. Step 3: Cross multiply
   101,016x = 150,648 × 150,648
4. Step 4: Simplify right side
   101,016x = 22,694,819,904
5. Step 5: Solve for x
   x = 22,694,819,904/101,016
6. Step 6: Final answer
   x = 224,665.60