Finding the Third Proportional to 107,665 and 227,099

Step by Step Solution

1. Step 1: Write the proportion equation
   107,665 : 227,099 = 227,099 : x
2. Step 2: Convert to fraction form
   107,665/227,099 = 227,099/x
3. Step 3: Cross multiply
   107,665x = 227,099 × 227,099
4. Step 4: Simplify right side
   107,665x = 51,573,955,801
5. Step 5: Solve for x
   x = 51,573,955,801/107,665
6. Step 6: Final answer
   x = 479,022.48