Finding the Third Proportional to 104.16 and 179.78

Step by Step Solution

1. Step 1: Write the proportion equation
   104.16 : 179.78 = 179.78 : x
2. Step 2: Convert to fraction form
   104.16/179.78 = 179.78/x
3. Step 3: Cross multiply
   104.16x = 179.78 × 179.78
4. Step 4: Simplify right side
   104.16x = 32,319.90
5. Step 5: Solve for x
   x = 32,319.90/104.16
6. Step 6: Final answer
   x = 310.30