Finding the Third Proportional to 120.94 and 185.52

Step by Step Solution

1. Step 1: Write the proportion equation
   120.94 : 185.52 = 185.52 : x
2. Step 2: Convert to fraction form
   120.94/185.52 = 185.52/x
3. Step 3: Cross multiply
   120.94x = 185.52 × 185.52
4. Step 4: Simplify right side
   120.94x = 34,417.50
5. Step 5: Solve for x
   x = 34,417.50/120.94
6. Step 6: Final answer
   x = 284.59