Finding the Third Proportional to 166.78 and 307.69

Step by Step Solution

1. Step 1: Write the proportion equation
   166.78 : 307.69 = 307.69 : x
2. Step 2: Convert to fraction form
   166.78/307.69 = 307.69/x
3. Step 3: Cross multiply
   166.78x = 307.69 × 307.69
4. Step 4: Simplify right side
   166.78x = 94,671.60
5. Step 5: Solve for x
   x = 94,671.60/166.78
6. Step 6: Final answer
   x = 567.64