Finding the Third Proportional to 81.75 and 185.88

Step by Step Solution

1. Step 1: Write the proportion equation
   81.75 : 185.88 = 185.88 : x
2. Step 2: Convert to fraction form
   81.75/185.88 = 185.88/x
3. Step 3: Cross multiply
   81.75x = 185.88 × 185.88
4. Step 4: Simplify right side
   81.75x = 34,549.52
5. Step 5: Solve for x
   x = 34,549.52/81.75
6. Step 6: Final answer
   x = 422.62