Finding the Third Proportional to 478.83 and 890.16

Step by Step Solution

1. Step 1: Write the proportion equation
   478.83 : 890.16 = 890.16 : x
2. Step 2: Convert to fraction form
   478.83/890.16 = 890.16/x
3. Step 3: Cross multiply
   478.83x = 890.16 × 890.16
4. Step 4: Simplify right side
   478.83x = 792,378.15
5. Step 5: Solve for x
   x = 792,378.15/478.83
6. Step 6: Final answer
   x = 1,654.83