Finding the Third Proportional to 85.32 and 179.82

Step by Step Solution

1. Step 1: Write the proportion equation
   85.32 : 179.82 = 179.82 : x
2. Step 2: Convert to fraction form
   85.32/179.82 = 179.82/x
3. Step 3: Cross multiply
   85.32x = 179.82 × 179.82
4. Step 4: Simplify right side
   85.32x = 32,336.75
5. Step 5: Solve for x
   x = 32,336.75/85.32
6. Step 6: Final answer
   x = 378.99