Finding the Third Proportional to 114.89 and 177.89

Step by Step Solution

1. Step 1: Write the proportion equation
   114.89 : 177.89 = 177.89 : x
2. Step 2: Convert to fraction form
   114.89/177.89 = 177.89/x
3. Step 3: Cross multiply
   114.89x = 177.89 × 177.89
4. Step 4: Simplify right side
   114.89x = 31,645.07
5. Step 5: Solve for x
   x = 31,645.07/114.89
6. Step 6: Final answer
   x = 275.44