Finding the Third Proportional to 53.50 and 111.88

Step by Step Solution

1. Step 1: Write the proportion equation
   53.50 : 111.88 = 111.88 : x
2. Step 2: Convert to fraction form
   53.50/111.88 = 111.88/x
3. Step 3: Cross multiply
   53.50x = 111.88 × 111.88
4. Step 4: Simplify right side
   53.50x = 12,516.02
5. Step 5: Solve for x
   x = 12,516.02/53.50
6. Step 6: Final answer
   x = 233.94