Finding the Third Proportional to 109,671 and 227,970

Step by Step Solution

1. Step 1: Write the proportion equation
   109,671 : 227,970 = 227,970 : x
2. Step 2: Convert to fraction form
   109,671/227,970 = 227,970/x
3. Step 3: Cross multiply
   109,671x = 227,970 × 227,970
4. Step 4: Simplify right side
   109,671x = 51,970,320,900
5. Step 5: Solve for x
   x = 51,970,320,900/109,671
6. Step 6: Final answer
   x = 473,874.78