Finding the Third Proportional to 231.05 and 508.59

Step by Step Solution

1. Step 1: Write the proportion equation
   231.05 : 508.59 = 508.59 : x
2. Step 2: Convert to fraction form
   231.05/508.59 = 508.59/x
3. Step 3: Cross multiply
   231.05x = 508.59 × 508.59
4. Step 4: Simplify right side
   231.05x = 258,667.60
5. Step 5: Solve for x
   x = 258,667.60/231.05
6. Step 6: Final answer
   x = 1,119.55