Finding the Third Proportional to 145.69 and 342.05

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 342.05 = 342.05 : x
2. Step 2: Convert to fraction form
   145.69/342.05 = 342.05/x
3. Step 3: Cross multiply
   145.69x = 342.05 × 342.05
4. Step 4: Simplify right side
   145.69x = 116,996.03
5. Step 5: Solve for x
   x = 116,996.03/145.69
6. Step 6: Final answer
   x = 803.07