Finding the Third Proportional to 118.88 and 173.63

Step by Step Solution

1. Step 1: Write the proportion equation
   118.88 : 173.63 = 173.63 : x
2. Step 2: Convert to fraction form
   118.88/173.63 = 173.63/x
3. Step 3: Cross multiply
   118.88x = 173.63 × 173.63
4. Step 4: Simplify right side
   118.88x = 30,145.64
5. Step 5: Solve for x
   x = 30,145.64/118.88
6. Step 6: Final answer
   x = 253.59