Finding the Third Proportional to 106,222.50 and 231,177

Step by Step Solution

1. Step 1: Write the proportion equation
   106,222.50 : 231,177 = 231,177 : x
2. Step 2: Convert to fraction form
   106,222.50/231,177 = 231,177/x
3. Step 3: Cross multiply
   106,222.50x = 231,177 × 231,177
4. Step 4: Simplify right side
   106,222.50x = 53,442,805,329
5. Step 5: Solve for x
   x = 53,442,805,329/106,222.50
6. Step 6: Final answer
   x = 503,121.33