Finding the Third Proportional to 131.72 and 184.22

Step by Step Solution

1. Step 1: Write the proportion equation
   131.72 : 184.22 = 184.22 : x
2. Step 2: Convert to fraction form
   131.72/184.22 = 184.22/x
3. Step 3: Cross multiply
   131.72x = 184.22 × 184.22
4. Step 4: Simplify right side
   131.72x = 33,936.55
5. Step 5: Solve for x
   x = 33,936.55/131.72
6. Step 6: Final answer
   x = 257.64