Finding the Third Proportional to 118.69 and 264.94

Step by Step Solution

1. Step 1: Write the proportion equation
   118.69 : 264.94 = 264.94 : x
2. Step 2: Convert to fraction form
   118.69/264.94 = 264.94/x
3. Step 3: Cross multiply
   118.69x = 264.94 × 264.94
4. Step 4: Simplify right side
   118.69x = 70,191.88
5. Step 5: Solve for x
   x = 70,191.88/118.69
6. Step 6: Final answer
   x = 591.40