Finding the Third Proportional to 116.86 and 183.33

Step by Step Solution

1. Step 1: Write the proportion equation
   116.86 : 183.33 = 183.33 : x
2. Step 2: Convert to fraction form
   116.86/183.33 = 183.33/x
3. Step 3: Cross multiply
   116.86x = 183.33 × 183.33
4. Step 4: Simplify right side
   116.86x = 33,609.20
5. Step 5: Solve for x
   x = 33,609.20/116.86
6. Step 6: Final answer
   x = 287.60