Finding the Third Proportional to 53.50 and 112.38

Step by Step Solution

1. Step 1: Write the proportion equation
   53.50 : 112.38 = 112.38 : x
2. Step 2: Convert to fraction form
   53.50/112.38 = 112.38/x
3. Step 3: Cross multiply
   53.50x = 112.38 × 112.38
4. Step 4: Simplify right side
   53.50x = 12,628.14
5. Step 5: Solve for x
   x = 12,628.14/53.50
6. Step 6: Final answer
   x = 236.04