Finding the Third Proportional to 107,005 and 227,834

Step by Step Solution

1. Step 1: Write the proportion equation
   107,005 : 227,834 = 227,834 : x
2. Step 2: Convert to fraction form
   107,005/227,834 = 227,834/x
3. Step 3: Cross multiply
   107,005x = 227,834 × 227,834
4. Step 4: Simplify right side
   107,005x = 51,908,331,556
5. Step 5: Solve for x
   x = 51,908,331,556/107,005
6. Step 6: Final answer
   x = 485,101.93