Finding the Third Proportional to 185.75 and 402.25

Step by Step Solution

1. Step 1: Write the proportion equation
   185.75 : 402.25 = 402.25 : x
2. Step 2: Convert to fraction form
   185.75/402.25 = 402.25/x
3. Step 3: Cross multiply
   185.75x = 402.25 × 402.25
4. Step 4: Simplify right side
   185.75x = 161,805.06
5. Step 5: Solve for x
   x = 161,805.06/185.75
6. Step 6: Final answer
   x = 871.09