Finding the Third Proportional to 127.50 and 298.88

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 298.88 = 298.88 : x
2. Step 2: Convert to fraction form
   127.50/298.88 = 298.88/x
3. Step 3: Cross multiply
   127.50x = 298.88 × 298.88
4. Step 4: Simplify right side
   127.50x = 89,326.27
5. Step 5: Solve for x
   x = 89,326.27/127.50
6. Step 6: Final answer
   x = 700.60