Finding the Third Proportional to 189.25 and 401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189.25 : 401.50 = 401.50 : x
2. Step 2: Convert to fraction form
   189.25/401.50 = 401.50/x
3. Step 3: Cross multiply
   189.25x = 401.50 × 401.50
4. Step 4: Simplify right side
   189.25x = 161,202.25
5. Step 5: Solve for x
   x = 161,202.25/189.25
6. Step 6: Final answer
   x = 851.80