Finding the Third Proportional to 124.50 and 287.63

Step by Step Solution

1. Step 1: Write the proportion equation
   124.50 : 287.63 = 287.63 : x
2. Step 2: Convert to fraction form
   124.50/287.63 = 287.63/x
3. Step 3: Cross multiply
   124.50x = 287.63 × 287.63
4. Step 4: Simplify right side
   124.50x = 82,728.14
5. Step 5: Solve for x
   x = 82,728.14/124.50
6. Step 6: Final answer
   x = 664.48