Finding the Third Proportional to 80,208 and 116,181

Step by Step Solution

1. Step 1: Write the proportion equation
   80,208 : 116,181 = 116,181 : x
2. Step 2: Convert to fraction form
   80,208/116,181 = 116,181/x
3. Step 3: Cross multiply
   80,208x = 116,181 × 116,181
4. Step 4: Simplify right side
   80,208x = 13,498,024,761
5. Step 5: Solve for x
   x = 13,498,024,761/80,208
6. Step 6: Final answer
   x = 168,287.76