Finding the Third Proportional to 316 and 429.25

Step by Step Solution

1. Step 1: Write the proportion equation
   316 : 429.25 = 429.25 : x
2. Step 2: Convert to fraction form
   316/429.25 = 429.25/x
3. Step 3: Cross multiply
   316x = 429.25 × 429.25
4. Step 4: Simplify right side
   316x = 184,255.56
5. Step 5: Solve for x
   x = 184,255.56/316
6. Step 6: Final answer
   x = 583.09