Finding the Third Proportional to 123.08 and 265.46

Step by Step Solution

1. Step 1: Write the proportion equation
   123.08 : 265.46 = 265.46 : x
2. Step 2: Convert to fraction form
   123.08/265.46 = 265.46/x
3. Step 3: Cross multiply
   123.08x = 265.46 × 265.46
4. Step 4: Simplify right side
   123.08x = 70,471.58
5. Step 5: Solve for x
   x = 70,471.58/123.08
6. Step 6: Final answer
   x = 572.56