Finding the Third Proportional to 176.19 and 401.38

Step by Step Solution

1. Step 1: Write the proportion equation
   176.19 : 401.38 = 401.38 : x
2. Step 2: Convert to fraction form
   176.19/401.38 = 401.38/x
3. Step 3: Cross multiply
   176.19x = 401.38 × 401.38
4. Step 4: Simplify right side
   176.19x = 161,101.89
5. Step 5: Solve for x
   x = 161,101.89/176.19
6. Step 6: Final answer
   x = 914.38