Finding the Third Proportional to 122.53 and 265.31

Step by Step Solution

1. Step 1: Write the proportion equation
   122.53 : 265.31 = 265.31 : x
2. Step 2: Convert to fraction form
   122.53/265.31 = 265.31/x
3. Step 3: Cross multiply
   122.53x = 265.31 × 265.31
4. Step 4: Simplify right side
   122.53x = 70,390.72
5. Step 5: Solve for x
   x = 70,390.72/122.53
6. Step 6: Final answer
   x = 574.47