Finding the Third Proportional to 231.45 and 501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231.45 : 501.50 = 501.50 : x
2. Step 2: Convert to fraction form
   231.45/501.50 = 501.50/x
3. Step 3: Cross multiply
   231.45x = 501.50 × 501.50
4. Step 4: Simplify right side
   231.45x = 251,506.17
5. Step 5: Solve for x
   x = 251,506.17/231.45
6. Step 6: Final answer
   x = 1,086.65