Finding the Third Proportional to 219.43 and 477.40

Step by Step Solution

1. Step 1: Write the proportion equation
   219.43 : 477.40 = 477.40 : x
2. Step 2: Convert to fraction form
   219.43/477.40 = 477.40/x
3. Step 3: Cross multiply
   219.43x = 477.40 × 477.40
4. Step 4: Simplify right side
   219.43x = 227,914.86
5. Step 5: Solve for x
   x = 227,914.86/219.43
6. Step 6: Final answer
   x = 1,038.68