Finding the Third Proportional to 118.50 and 188.63

Step by Step Solution

1. Step 1: Write the proportion equation
   118.50 : 188.63 = 188.63 : x
2. Step 2: Convert to fraction form
   118.50/188.63 = 188.63/x
3. Step 3: Cross multiply
   118.50x = 188.63 × 188.63
4. Step 4: Simplify right side
   118.50x = 35,579.39
5. Step 5: Solve for x
   x = 35,579.39/118.50
6. Step 6: Final answer
   x = 300.25