Finding the Third Proportional to 311,223 and 480,648

Step by Step Solution

1. Step 1: Write the proportion equation
   311,223 : 480,648 = 480,648 : x
2. Step 2: Convert to fraction form
   311,223/480,648 = 480,648/x
3. Step 3: Cross multiply
   311,223x = 480,648 × 480,648
4. Step 4: Simplify right side
   311,223x = 231,022,499,904
5. Step 5: Solve for x
   x = 231,022,499,904/311,223
6. Step 6: Final answer
   x = 742,305.36