Finding the Third Proportional to 46.63 and 112.81

Step by Step Solution

1. Step 1: Write the proportion equation
   46.63 : 112.81 = 112.81 : x
2. Step 2: Convert to fraction form
   46.63/112.81 = 112.81/x
3. Step 3: Cross multiply
   46.63x = 112.81 × 112.81
4. Step 4: Simplify right side
   46.63x = 12,726.66
5. Step 5: Solve for x
   x = 12,726.66/46.63
6. Step 6: Final answer
   x = 272.96