Finding the Third Proportional to 82,171 and 117,422

Step by Step Solution

1. Step 1: Write the proportion equation
   82,171 : 117,422 = 117,422 : x
2. Step 2: Convert to fraction form
   82,171/117,422 = 117,422/x
3. Step 3: Cross multiply
   82,171x = 117,422 × 117,422
4. Step 4: Simplify right side
   82,171x = 13,787,926,084
5. Step 5: Solve for x
   x = 13,787,926,084/82,171
6. Step 6: Final answer
   x = 167,795.52