Finding the Third Proportional to 101.88 and 178.69

Step by Step Solution

1. Step 1: Write the proportion equation
   101.88 : 178.69 = 178.69 : x
2. Step 2: Convert to fraction form
   101.88/178.69 = 178.69/x
3. Step 3: Cross multiply
   101.88x = 178.69 × 178.69
4. Step 4: Simplify right side
   101.88x = 31,929.22
5. Step 5: Solve for x
   x = 31,929.22/101.88
6. Step 6: Final answer
   x = 313.42