Finding the Third Proportional to 126.50 and 288.25

Step by Step Solution

1. Step 1: Write the proportion equation
   126.50 : 288.25 = 288.25 : x
2. Step 2: Convert to fraction form
   126.50/288.25 = 288.25/x
3. Step 3: Cross multiply
   126.50x = 288.25 × 288.25
4. Step 4: Simplify right side
   126.50x = 83,088.06
5. Step 5: Solve for x
   x = 83,088.06/126.50
6. Step 6: Final answer
   x = 656.82