Finding the Third Proportional to 120.94 and 187.59

Step by Step Solution

1. Step 1: Write the proportion equation
   120.94 : 187.59 = 187.59 : x
2. Step 2: Convert to fraction form
   120.94/187.59 = 187.59/x
3. Step 3: Cross multiply
   120.94x = 187.59 × 187.59
4. Step 4: Simplify right side
   120.94x = 35,191.42
5. Step 5: Solve for x
   x = 35,191.42/120.94
6. Step 6: Final answer
   x = 290.99