Finding the Third Proportional to 185.88 and 406.38

Step by Step Solution

1. Step 1: Write the proportion equation
   185.88 : 406.38 = 406.38 : x
2. Step 2: Convert to fraction form
   185.88/406.38 = 406.38/x
3. Step 3: Cross multiply
   185.88x = 406.38 × 406.38
4. Step 4: Simplify right side
   185.88x = 165,140.64
5. Step 5: Solve for x
   x = 165,140.64/185.88
6. Step 6: Final answer
   x = 888.45