Finding the Third Proportional to 298 and 456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   298 : 456.25 = 456.25 : x
2. Step 2: Convert to fraction form
   298/456.25 = 456.25/x
3. Step 3: Cross multiply
   298x = 456.25 × 456.25
4. Step 4: Simplify right side
   298x = 208,164.06
5. Step 5: Solve for x
   x = 208,164.06/298
6. Step 6: Final answer
   x = 698.54