Finding the Third Proportional to 238.50 and 514.25

Step by Step Solution

1. Step 1: Write the proportion equation
   238.50 : 514.25 = 514.25 : x
2. Step 2: Convert to fraction form
   238.50/514.25 = 514.25/x
3. Step 3: Cross multiply
   238.50x = 514.25 × 514.25
4. Step 4: Simplify right side
   238.50x = 264,453.06
5. Step 5: Solve for x
   x = 264,453.06/238.50
6. Step 6: Final answer
   x = 1,108.82