Finding the Third Proportional to 150,462 and 228,648

Step by Step Solution

1. Step 1: Write the proportion equation
   150,462 : 228,648 = 228,648 : x
2. Step 2: Convert to fraction form
   150,462/228,648 = 228,648/x
3. Step 3: Cross multiply
   150,462x = 228,648 × 228,648
4. Step 4: Simplify right side
   150,462x = 52,279,907,904
5. Step 5: Solve for x
   x = 52,279,907,904/150,462
6. Step 6: Final answer
   x = 347,462.53