Finding the Third Proportional to 120 and 181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120 : 181.50 = 181.50 : x
2. Step 2: Convert to fraction form
   120/181.50 = 181.50/x
3. Step 3: Cross multiply
   120x = 181.50 × 181.50
4. Step 4: Simplify right side
   120x = 32,942.25
5. Step 5: Solve for x
   x = 32,942.25/120
6. Step 6: Final answer
   x = 274.52