Finding the Third Proportional to 46.85 and 102.72

Step by Step Solution

1. Step 1: Write the proportion equation
   46.85 : 102.72 = 102.72 : x
2. Step 2: Convert to fraction form
   46.85/102.72 = 102.72/x
3. Step 3: Cross multiply
   46.85x = 102.72 × 102.72
4. Step 4: Simplify right side
   46.85x = 10,550.55
5. Step 5: Solve for x
   x = 10,550.55/46.85
6. Step 6: Final answer
   x = 225.18