Finding the Third Proportional to 116.75 and 180.83

Step by Step Solution

1. Step 1: Write the proportion equation
   116.75 : 180.83 = 180.83 : x
2. Step 2: Convert to fraction form
   116.75/180.83 = 180.83/x
3. Step 3: Cross multiply
   116.75x = 180.83 × 180.83
4. Step 4: Simplify right side
   116.75x = 32,698.10
5. Step 5: Solve for x
   x = 32,698.10/116.75
6. Step 6: Final answer
   x = 280.06