Finding the Third Proportional to 298.88 and 454.69

Step by Step Solution

1. Step 1: Write the proportion equation
   298.88 : 454.69 = 454.69 : x
2. Step 2: Convert to fraction form
   298.88/454.69 = 454.69/x
3. Step 3: Cross multiply
   298.88x = 454.69 × 454.69
4. Step 4: Simplify right side
   298.88x = 206,740.72
5. Step 5: Solve for x
   x = 206,740.72/298.88
6. Step 6: Final answer
   x = 691.73