Finding the Third Proportional to 298.69 and 461.53

Step by Step Solution

1. Step 1: Write the proportion equation
   298.69 : 461.53 = 461.53 : x
2. Step 2: Convert to fraction form
   298.69/461.53 = 461.53/x
3. Step 3: Cross multiply
   298.69x = 461.53 × 461.53
4. Step 4: Simplify right side
   298.69x = 213,011.09
5. Step 5: Solve for x
   x = 213,011.09/298.69
6. Step 6: Final answer
   x = 713.16