Finding the Third Proportional to 354.50 and 478.88

Step by Step Solution

1. Step 1: Write the proportion equation
   354.50 : 478.88 = 478.88 : x
2. Step 2: Convert to fraction form
   354.50/478.88 = 478.88/x
3. Step 3: Cross multiply
   354.50x = 478.88 × 478.88
4. Step 4: Simplify right side
   354.50x = 229,321.27
5. Step 5: Solve for x
   x = 229,321.27/354.50
6. Step 6: Final answer
   x = 646.89