Finding the Third Proportional to 227,840 and 341,648

Step by Step Solution

1. Step 1: Write the proportion equation
   227,840 : 341,648 = 341,648 : x
2. Step 2: Convert to fraction form
   227,840/341,648 = 341,648/x
3. Step 3: Cross multiply
   227,840x = 341,648 × 341,648
4. Step 4: Simplify right side
   227,840x = 116,723,355,904
5. Step 5: Solve for x
   x = 116,723,355,904/227,840
6. Step 6: Final answer
   x = 512,304.06