Finding the Third Proportional to 82,816 and 117,072

Step by Step Solution

1. Step 1: Write the proportion equation
   82,816 : 117,072 = 117,072 : x
2. Step 2: Convert to fraction form
   82,816/117,072 = 117,072/x
3. Step 3: Cross multiply
   82,816x = 117,072 × 117,072
4. Step 4: Simplify right side
   82,816x = 13,705,853,184
5. Step 5: Solve for x
   x = 13,705,853,184/82,816
6. Step 6: Final answer
   x = 165,497.65