Finding the Third Proportional to 289.59 and 460.45

Step by Step Solution

1. Step 1: Write the proportion equation
   289.59 : 460.45 = 460.45 : x
2. Step 2: Convert to fraction form
   289.59/460.45 = 460.45/x
3. Step 3: Cross multiply
   289.59x = 460.45 × 460.45
4. Step 4: Simplify right side
   289.59x = 212,016.66
5. Step 5: Solve for x
   x = 212,016.66/289.59
6. Step 6: Final answer
   x = 732.12