Finding the Third Proportional to 107,760 and 231,072

Step by Step Solution

1. Step 1: Write the proportion equation
   107,760 : 231,072 = 231,072 : x
2. Step 2: Convert to fraction form
   107,760/231,072 = 231,072/x
3. Step 3: Cross multiply
   107,760x = 231,072 × 231,072
4. Step 4: Simplify right side
   107,760x = 53,394,269,184
5. Step 5: Solve for x
   x = 53,394,269,184/107,760
6. Step 6: Final answer
   x = 495,492.48