Finding the Third Proportional to 120 and 233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120 : 233.50 = 233.50 : x
2. Step 2: Convert to fraction form
   120/233.50 = 233.50/x
3. Step 3: Cross multiply
   120x = 233.50 × 233.50
4. Step 4: Simplify right side
   120x = 54,522.25
5. Step 5: Solve for x
   x = 54,522.25/120
6. Step 6: Final answer
   x = 454.35