Finding the Third Proportional to 298.50 and 461.25

Step by Step Solution

1. Step 1: Write the proportion equation
   298.50 : 461.25 = 461.25 : x
2. Step 2: Convert to fraction form
   298.50/461.25 = 461.25/x
3. Step 3: Cross multiply
   298.50x = 461.25 × 461.25
4. Step 4: Simplify right side
   298.50x = 212,751.56
5. Step 5: Solve for x
   x = 212,751.56/298.50
6. Step 6: Final answer
   x = 712.74