Finding the Third Proportional to 82,036 and 117,311

Step by Step Solution

1. Step 1: Write the proportion equation
   82,036 : 117,311 = 117,311 : x
2. Step 2: Convert to fraction form
   82,036/117,311 = 117,311/x
3. Step 3: Cross multiply
   82,036x = 117,311 × 117,311
4. Step 4: Simplify right side
   82,036x = 13,761,870,721
5. Step 5: Solve for x
   x = 13,761,870,721/82,036
6. Step 6: Final answer
   x = 167,754.04