Finding the Third Proportional to 185.34 and 401.06

Step by Step Solution

1. Step 1: Write the proportion equation
   185.34 : 401.06 = 401.06 : x
2. Step 2: Convert to fraction form
   185.34/401.06 = 401.06/x
3. Step 3: Cross multiply
   185.34x = 401.06 × 401.06
4. Step 4: Simplify right side
   185.34x = 160,851.13
5. Step 5: Solve for x
   x = 160,851.13/185.34
6. Step 6: Final answer
   x = 867.85