Finding the Third Proportional to 185.75 and 443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   185.75 : 443.75 = 443.75 : x
2. Step 2: Convert to fraction form
   185.75/443.75 = 443.75/x
3. Step 3: Cross multiply
   185.75x = 443.75 × 443.75
4. Step 4: Simplify right side
   185.75x = 196,914.06
5. Step 5: Solve for x
   x = 196,914.06/185.75
6. Step 6: Final answer
   x = 1,060.10