Finding the Third Proportional to 238.50 and 488.63

Step by Step Solution

1. Step 1: Write the proportion equation
   238.50 : 488.63 = 488.63 : x
2. Step 2: Convert to fraction form
   238.50/488.63 = 488.63/x
3. Step 3: Cross multiply
   238.50x = 488.63 × 488.63
4. Step 4: Simplify right side
   238.50x = 238,754.39
5. Step 5: Solve for x
   x = 238,754.39/238.50
6. Step 6: Final answer
   x = 1,001.07