Finding the Third Proportional to 145.69 and 317.06

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 317.06 = 317.06 : x
2. Step 2: Convert to fraction form
   145.69/317.06 = 317.06/x
3. Step 3: Cross multiply
   145.69x = 317.06 × 317.06
4. Step 4: Simplify right side
   145.69x = 100,528.63
5. Step 5: Solve for x
   x = 100,528.63/145.69
6. Step 6: Final answer
   x = 690.03