Finding the Third Proportional to 67.69 and 183.75

Step by Step Solution

1. Step 1: Write the proportion equation
   67.69 : 183.75 = 183.75 : x
2. Step 2: Convert to fraction form
   67.69/183.75 = 183.75/x
3. Step 3: Cross multiply
   67.69x = 183.75 × 183.75
4. Step 4: Simplify right side
   67.69x = 33,764.06
5. Step 5: Solve for x
   x = 33,764.06/67.69
6. Step 6: Final answer
   x = 498.82