Finding the Third Proportional to 107,008 and 227,839

Step by Step Solution

1. Step 1: Write the proportion equation
   107,008 : 227,839 = 227,839 : x
2. Step 2: Convert to fraction form
   107,008/227,839 = 227,839/x
3. Step 3: Cross multiply
   107,008x = 227,839 × 227,839
4. Step 4: Simplify right side
   107,008x = 51,910,609,921
5. Step 5: Solve for x
   x = 51,910,609,921/107,008
6. Step 6: Final answer
   x = 485,109.62