Finding the Third Proportional to 77.06 and 118.03

Step by Step Solution

1. Step 1: Write the proportion equation
   77.06 : 118.03 = 118.03 : x
2. Step 2: Convert to fraction form
   77.06/118.03 = 118.03/x
3. Step 3: Cross multiply
   77.06x = 118.03 × 118.03
4. Step 4: Simplify right side
   77.06x = 13,931.38
5. Step 5: Solve for x
   x = 13,931.38/77.06
6. Step 6: Final answer
   x = 180.78