Finding the Third Proportional to 89.70 and 185.10

Step by Step Solution

1. Step 1: Write the proportion equation
   89.70 : 185.10 = 185.10 : x
2. Step 2: Convert to fraction form
   89.70/185.10 = 185.10/x
3. Step 3: Cross multiply
   89.70x = 185.10 × 185.10
4. Step 4: Simplify right side
   89.70x = 34,261.14
5. Step 5: Solve for x
   x = 34,261.14/89.70
6. Step 6: Final answer
   x = 381.95