Finding the Third Proportional to 116.75 and 301.38

Step by Step Solution

1. Step 1: Write the proportion equation
   116.75 : 301.38 = 301.38 : x
2. Step 2: Convert to fraction form
   116.75/301.38 = 301.38/x
3. Step 3: Cross multiply
   116.75x = 301.38 × 301.38
4. Step 4: Simplify right side
   116.75x = 90,826.89
5. Step 5: Solve for x
   x = 90,826.89/116.75
6. Step 6: Final answer
   x = 777.96