Finding the Third Proportional to 265.50 and 488.25

Step by Step Solution

1. Step 1: Write the proportion equation
   265.50 : 488.25 = 488.25 : x
2. Step 2: Convert to fraction form
   265.50/488.25 = 488.25/x
3. Step 3: Cross multiply
   265.50x = 488.25 × 488.25
4. Step 4: Simplify right side
   265.50x = 238,388.06
5. Step 5: Solve for x
   x = 238,388.06/265.50
6. Step 6: Final answer
   x = 897.88