Find the third proportional to :
1.2, 0.6

Answer

To find the third proportional to the numbers 1.2 and 0.6, we can follow these steps:

### Step 1: Set up the proportion
Let the third proportional be \( x \). We can set up the proportion as follows:
\[ \frac{1.2}{0.6} = \frac{0.6}{x} \]

### Step 2: Cross-multiply
To solve for \( x \), we cross-multiply:
\[ 1.2 \cdot x = 0.6 \cdot 0.6 \]

### Step 3: Calculate the right side
Now, calculate \( 0.6 \cdot 0.6 \):
\[ 0.6 \cdot 0.6 = 0.36 \]
So we have:
\[ 1.2 \cdot x = 0.36 \]

### Step 4: Solve for \( x \)
Now, divide both sides by 1.2 to isolate \( x \):
\[ x = \frac{0.36}{1.2} \]

### Step 5: Perform the division
Now, perform the division:
\[ x = 0.36 \div 1.2 \]
To simplify \( 0.36 \div 1.2 \), we can convert it to a fraction:
\[ x = \frac{36}{100} \div \frac{12}{10} = \frac{36}{100} \cdot \frac{10}{12} \]
Now, simplify:
\[ x = \frac{36 \cdot 10}{100 \cdot 12} = \frac{360}{1200} \]
Reducing this fraction gives:
\[ x = \frac{3}{10} = 0.3 \]

### Conclusion
Thus, the third proportional to 1.2 and 0.6 is:
\[ \boxed{0.3} \]