Finding the Third Proportional to 138.52 and 179.72

Step by Step Solution

1. Step 1: Write the proportion equation
   138.52 : 179.72 = 179.72 : x
2. Step 2: Convert to fraction form
   138.52/179.72 = 179.72/x
3. Step 3: Cross multiply
   138.52x = 179.72 × 179.72
4. Step 4: Simplify right side
   138.52x = 32,298.83
5. Step 5: Solve for x
   x = 32,298.83/138.52
6. Step 6: Final answer
   x = 233.18