Finding the Third Proportional to 102.52 and 179.40

Step by Step Solution

1. Step 1: Write the proportion equation
   102.52 : 179.40 = 179.40 : x
2. Step 2: Convert to fraction form
   102.52/179.40 = 179.40/x
3. Step 3: Cross multiply
   102.52x = 179.40 × 179.40
4. Step 4: Simplify right side
   102.52x = 32,185.20
5. Step 5: Solve for x
   x = 32,185.20/102.52
6. Step 6: Final answer
   x = 313.95