Finding the Third Proportional to 46.22 and 109.91

Step by Step Solution

1. Step 1: Write the proportion equation
   46.22 : 109.91 = 109.91 : x
2. Step 2: Convert to fraction form
   46.22/109.91 = 109.91/x
3. Step 3: Cross multiply
   46.22x = 109.91 × 109.91
4. Step 4: Simplify right side
   46.22x = 12,079.38
5. Step 5: Solve for x
   x = 12,079.38/46.22
6. Step 6: Final answer
   x = 261.35