1. **Stating the problem:** We have a circle divided into five segments with numbers 5, 10, ?, 50, and 122. We need to find the missing number represented by "?". 2. **Analyzing the given numbers:** The numbers are 5, 10, ?, 50, and 122. We want to find a pattern or relationship among these numbers. 3. **Looking for a pattern:** Let's check if the numbers relate by multiplication or addition. 4. **Check if the numbers follow a multiplication pattern:** - From 5 to 10: $10 = 5 \times 2$ - From 10 to ?: Let's call the missing number $x$. - From ? to 50: $50 = x \times ?$ - From 50 to 122: $122$ is not a multiple of 50, but let's check the difference: $122 - 50 = 72$ 5. **Check if the numbers follow an addition pattern:** - From 5 to 10: $10 - 5 = 5$ - From 10 to ?: $x - 10 = ?$ - From ? to 50: $50 - x = ?$ - From 50 to 122: $122 - 50 = 72$ 6. **Try to find a consistent pattern:** The differences are 5, unknown, unknown, and 72. The differences don't form a simple arithmetic progression. 7. **Check if the numbers relate by squares or other operations:** - $5^2 = 25$ - $10^2 = 100$ - $50^2 = 2500$ - $122^2 = 14884$ No clear pattern here. 8. **Check if the numbers relate by sums of the numbers given below the circle:** The numbers below are 25, 27, 23, and 26. 9. **Sum of numbers below the circle:** $25 + 27 + 23 + 26 = 101$ 10. **Sum of known numbers in the circle:** $5 + 10 + 50 + 122 = 187$ 11. **Try to relate the missing number to the numbers below:** - The missing number plus the sum of the numbers below might equal the sum of the known numbers in the circle. - Let the missing number be $x$. - $x + 101 = 187$ - Solve for $x$: $$x = 187 - 101 = 86$$ 12. **Conclusion:** The missing number is $86$. **Final answer:** $$\boxed{86}$$