Finding the Third Proportional to 145.05 and 314.16

Step by Step Solution

1. Step 1: Write the proportion equation
   145.05 : 314.16 = 314.16 : x
2. Step 2: Convert to fraction form
   145.05/314.16 = 314.16/x
3. Step 3: Cross multiply
   145.05x = 314.16 × 314.16
4. Step 4: Simplify right side
   145.05x = 98,694.15
5. Step 5: Solve for x
   x = 98,694.15/145.05
6. Step 6: Final answer
   x = 680.39