Finding the Third Proportional to 120.23 and 185.73

Step by Step Solution

1. Step 1: Write the proportion equation
   120.23 : 185.73 = 185.73 : x
2. Step 2: Convert to fraction form
   120.23/185.73 = 185.73/x
3. Step 3: Cross multiply
   120.23x = 185.73 × 185.73
4. Step 4: Simplify right side
   120.23x = 34,495.81
5. Step 5: Solve for x
   x = 34,495.81/120.23
6. Step 6: Final answer
   x = 286.90