Finding the Third Proportional to 82,880 and 131,443

Step by Step Solution

1. Step 1: Write the proportion equation
   82,880 : 131,443 = 131,443 : x
2. Step 2: Convert to fraction form
   82,880/131,443 = 131,443/x
3. Step 3: Cross multiply
   82,880x = 131,443 × 131,443
4. Step 4: Simplify right side
   82,880x = 17,277,262,249
5. Step 5: Solve for x
   x = 17,277,262,249/82,880
6. Step 6: Final answer
   x = 208,461.18