Finding the Third Proportional to 0.30 and 0.78

Step by Step Solution

1. Step 1: Write the proportion equation
   0.30 : 0.78 = 0.78 : x
2. Step 2: Convert to fraction form
   0.30/0.78 = 0.78/x
3. Step 3: Cross multiply
   0.30x = 0.78 × 0.78
4. Step 4: Simplify right side
   0.30x = 0.61
5. Step 5: Solve for x
   x = 0.61/0.30
6. Step 6: Final answer
   x = 2.05