Finding the Third Proportional to 47.50 and 112.63

Step by Step Solution

1. Step 1: Write the proportion equation
   47.50 : 112.63 = 112.63 : x
2. Step 2: Convert to fraction form
   47.50/112.63 = 112.63/x
3. Step 3: Cross multiply
   47.50x = 112.63 × 112.63
4. Step 4: Simplify right side
   47.50x = 12,684.39
5. Step 5: Solve for x
   x = 12,684.39/47.50
6. Step 6: Final answer
   x = 267.04