Finding the Third Proportional to 383.06 and 478.83

Step by Step Solution

1. Step 1: Write the proportion equation
   383.06 : 478.83 = 478.83 : x
2. Step 2: Convert to fraction form
   383.06/478.83 = 478.83/x
3. Step 3: Cross multiply
   383.06x = 478.83 × 478.83
4. Step 4: Simplify right side
   383.06x = 229,276.37
5. Step 5: Solve for x
   x = 229,276.37/383.06
6. Step 6: Final answer
   x = 598.54