Finding the Third Proportional to 145.55 and 317.04

Step by Step Solution

1. Step 1: Write the proportion equation
   145.55 : 317.04 = 317.04 : x
2. Step 2: Convert to fraction form
   145.55/317.04 = 317.04/x
3. Step 3: Cross multiply
   145.55x = 317.04 × 317.04
4. Step 4: Simplify right side
   145.55x = 100,513.77
5. Step 5: Solve for x
   x = 100,513.77/145.55
6. Step 6: Final answer
   x = 690.59