Finding the Third Proportional to 298.65 and 461.56

Step by Step Solution

1. Step 1: Write the proportion equation
   298.65 : 461.56 = 461.56 : x
2. Step 2: Convert to fraction form
   298.65/461.56 = 461.56/x
3. Step 3: Cross multiply
   298.65x = 461.56 × 461.56
4. Step 4: Simplify right side
   298.65x = 213,035.43
5. Step 5: Solve for x
   x = 213,035.43/298.65
6. Step 6: Final answer
   x = 713.33