Finding the Third Proportional to 82,820 and 117,078

Step by Step Solution

1. Step 1: Write the proportion equation
   82,820 : 117,078 = 117,078 : x
2. Step 2: Convert to fraction form
   82,820/117,078 = 117,078/x
3. Step 3: Cross multiply
   82,820x = 117,078 × 117,078
4. Step 4: Simplify right side
   82,820x = 13,707,258,084
5. Step 5: Solve for x
   x = 13,707,258,084/82,820
6. Step 6: Final answer
   x = 165,506.62