Finding the Third Proportional to 87.54 and 185.20

Step by Step Solution

1. Step 1: Write the proportion equation
   87.54 : 185.20 = 185.20 : x
2. Step 2: Convert to fraction form
   87.54/185.20 = 185.20/x
3. Step 3: Cross multiply
   87.54x = 185.20 × 185.20
4. Step 4: Simplify right side
   87.54x = 34,300.20
5. Step 5: Solve for x
   x = 34,300.20/87.54
6. Step 6: Final answer
   x = 391.83