Finding the Third Proportional to 80,936 and 165,082

Step by Step Solution

1. Step 1: Write the proportion equation
   80,936 : 165,082 = 165,082 : x
2. Step 2: Convert to fraction form
   80,936/165,082 = 165,082/x
3. Step 3: Cross multiply
   80,936x = 165,082 × 165,082
4. Step 4: Simplify right side
   80,936x = 27,252,066,724
5. Step 5: Solve for x
   x = 27,252,066,724/80,936
6. Step 6: Final answer
   x = 336,711.31