Finding the Third Proportional to 123.05 and 265.92

Step by Step Solution

1. Step 1: Write the proportion equation
   123.05 : 265.92 = 265.92 : x
2. Step 2: Convert to fraction form
   123.05/265.92 = 265.92/x
3. Step 3: Cross multiply
   123.05x = 265.92 × 265.92
4. Step 4: Simplify right side
   123.05x = 70,714.44
5. Step 5: Solve for x
   x = 70,714.44/123.05
6. Step 6: Final answer
   x = 574.70