Finding the Third Proportional to 52.64 and 112.88

Step by Step Solution

1. Step 1: Write the proportion equation
   52.64 : 112.88 = 112.88 : x
2. Step 2: Convert to fraction form
   52.64/112.88 = 112.88/x
3. Step 3: Cross multiply
   52.64x = 112.88 × 112.88
4. Step 4: Simplify right side
   52.64x = 12,740.77
5. Step 5: Solve for x
   x = 12,740.77/52.64
6. Step 6: Final answer
   x = 242.03