Finding the Third Proportional to 185.25 and 401.25

Step by Step Solution

1. Step 1: Write the proportion equation
   185.25 : 401.25 = 401.25 : x
2. Step 2: Convert to fraction form
   185.25/401.25 = 401.25/x
3. Step 3: Cross multiply
   185.25x = 401.25 × 401.25
4. Step 4: Simplify right side
   185.25x = 161,001.56
5. Step 5: Solve for x
   x = 161,001.56/185.25
6. Step 6: Final answer
   x = 869.10