Finding the Third Proportional to 102.94 and 165.78

Step by Step Solution

1. Step 1: Write the proportion equation
   102.94 : 165.78 = 165.78 : x
2. Step 2: Convert to fraction form
   102.94/165.78 = 165.78/x
3. Step 3: Cross multiply
   102.94x = 165.78 × 165.78
4. Step 4: Simplify right side
   102.94x = 27,483.42
5. Step 5: Solve for x
   x = 27,483.42/102.94
6. Step 6: Final answer
   x = 266.99