Finding the Third Proportional to 105,177.75 and 231,390

Step by Step Solution

1. Step 1: Write the proportion equation
   105,177.75 : 231,390 = 231,390 : x
2. Step 2: Convert to fraction form
   105,177.75/231,390 = 231,390/x
3. Step 3: Cross multiply
   105,177.75x = 231,390 × 231,390
4. Step 4: Simplify right side
   105,177.75x = 53,541,332,100
5. Step 5: Solve for x
   x = 53,541,332,100/105,177.75
6. Step 6: Final answer
   x = 509,055.69