Finding the Third Proportional to 82,960 and 111,768

Step by Step Solution

1. Step 1: Write the proportion equation
   82,960 : 111,768 = 111,768 : x
2. Step 2: Convert to fraction form
   82,960/111,768 = 111,768/x
3. Step 3: Cross multiply
   82,960x = 111,768 × 111,768
4. Step 4: Simplify right side
   82,960x = 12,492,085,824
5. Step 5: Solve for x
   x = 12,492,085,824/82,960
6. Step 6: Final answer
   x = 150,579.63