Finding the Third Proportional to 122.77 and 264.52

Step by Step Solution

1. Step 1: Write the proportion equation
   122.77 : 264.52 = 264.52 : x
2. Step 2: Convert to fraction form
   122.77/264.52 = 264.52/x
3. Step 3: Cross multiply
   122.77x = 264.52 × 264.52
4. Step 4: Simplify right side
   122.77x = 69,968.52
5. Step 5: Solve for x
   x = 69,968.52/122.77
6. Step 6: Final answer
   x = 569.94