Finding the Third Proportional to 219.59 and 459.34

Step by Step Solution

1. Step 1: Write the proportion equation
   219.59 : 459.34 = 459.34 : x
2. Step 2: Convert to fraction form
   219.59/459.34 = 459.34/x
3. Step 3: Cross multiply
   219.59x = 459.34 × 459.34
4. Step 4: Simplify right side
   219.59x = 210,995.78
5. Step 5: Solve for x
   x = 210,995.78/219.59
6. Step 6: Final answer
   x = 960.88