Finding the Third Proportional to 298.88 and 461.69

Step by Step Solution

1. Step 1: Write the proportion equation
   298.88 : 461.69 = 461.69 : x
2. Step 2: Convert to fraction form
   298.88/461.69 = 461.69/x
3. Step 3: Cross multiply
   298.88x = 461.69 × 461.69
4. Step 4: Simplify right side
   298.88x = 213,155.35
5. Step 5: Solve for x
   x = 213,155.35/298.88
6. Step 6: Final answer
   x = 713.19