Finding the Third Proportional to 53.25 and 120.38

Step by Step Solution

1. Step 1: Write the proportion equation
   53.25 : 120.38 = 120.38 : x
2. Step 2: Convert to fraction form
   53.25/120.38 = 120.38/x
3. Step 3: Cross multiply
   53.25x = 120.38 × 120.38
4. Step 4: Simplify right side
   53.25x = 14,490.14
5. Step 5: Solve for x
   x = 14,490.14/53.25
6. Step 6: Final answer
   x = 272.12