Finding the Third Proportional to 82,822 and 117,081

Step by Step Solution

1. Step 1: Write the proportion equation
   82,822 : 117,081 = 117,081 : x
2. Step 2: Convert to fraction form
   82,822/117,081 = 117,081/x
3. Step 3: Cross multiply
   82,822x = 117,081 × 117,081
4. Step 4: Simplify right side
   82,822x = 13,707,960,561
5. Step 5: Solve for x
   x = 13,707,960,561/82,822
6. Step 6: Final answer
   x = 165,511.10