Finding the Third Proportional to 116.38 and 177.38

Step by Step Solution

1. Step 1: Write the proportion equation
   116.38 : 177.38 = 177.38 : x
2. Step 2: Convert to fraction form
   116.38/177.38 = 177.38/x
3. Step 3: Cross multiply
   116.38x = 177.38 × 177.38
4. Step 4: Simplify right side
   116.38x = 31,461.89
5. Step 5: Solve for x
   x = 31,461.89/116.38
6. Step 6: Final answer
   x = 270.35