Finding the Third Proportional to 116.94 and 180.03

Step by Step Solution

1. Step 1: Write the proportion equation
   116.94 : 180.03 = 180.03 : x
2. Step 2: Convert to fraction form
   116.94/180.03 = 180.03/x
3. Step 3: Cross multiply
   116.94x = 180.03 × 180.03
4. Step 4: Simplify right side
   116.94x = 32,411.25
5. Step 5: Solve for x
   x = 32,411.25/116.94
6. Step 6: Final answer
   x = 277.17