Finding the Third Proportional to 131.50 and 179.75

Step by Step Solution

1. Step 1: Write the proportion equation
   131.50 : 179.75 = 179.75 : x
2. Step 2: Convert to fraction form
   131.50/179.75 = 179.75/x
3. Step 3: Cross multiply
   131.50x = 179.75 × 179.75
4. Step 4: Simplify right side
   131.50x = 32,310.06
5. Step 5: Solve for x
   x = 32,310.06/131.50
6. Step 6: Final answer
   x = 245.70