Finding the Third Proportional to 80,102 and 116,022

Step by Step Solution

1. Step 1: Write the proportion equation
   80,102 : 116,022 = 116,022 : x
2. Step 2: Convert to fraction form
   80,102/116,022 = 116,022/x
3. Step 3: Cross multiply
   80,102x = 116,022 × 116,022
4. Step 4: Simplify right side
   80,102x = 13,461,104,484
5. Step 5: Solve for x
   x = 13,461,104,484/80,102
6. Step 6: Final answer
   x = 168,049.54