Finding the Third Proportional to 122.63 and 264.56

Step by Step Solution

1. Step 1: Write the proportion equation
   122.63 : 264.56 = 264.56 : x
2. Step 2: Convert to fraction form
   122.63/264.56 = 264.56/x
3. Step 3: Cross multiply
   122.63x = 264.56 × 264.56
4. Step 4: Simplify right side
   122.63x = 69,993.32
5. Step 5: Solve for x
   x = 69,993.32/122.63
6. Step 6: Final answer
   x = 570.79