Finding the Third Proportional to 298.03 and 460.55

Step by Step Solution

1. Step 1: Write the proportion equation
   298.03 : 460.55 = 460.55 : x
2. Step 2: Convert to fraction form
   298.03/460.55 = 460.55/x
3. Step 3: Cross multiply
   298.03x = 460.55 × 460.55
4. Step 4: Simplify right side
   298.03x = 212,103.42
5. Step 5: Solve for x
   x = 212,103.42/298.03
6. Step 6: Final answer
   x = 711.68