Finding the Third Proportional to 82,880 and 127,182

Step by Step Solution

1. Step 1: Write the proportion equation
   82,880 : 127,182 = 127,182 : x
2. Step 2: Convert to fraction form
   82,880/127,182 = 127,182/x
3. Step 3: Cross multiply
   82,880x = 127,182 × 127,182
4. Step 4: Simplify right side
   82,880x = 16,175,261,124
5. Step 5: Solve for x
   x = 16,175,261,124/82,880
6. Step 6: Final answer
   x = 195,164.83