Finding the Third Proportional to 123.40 and 186.05

Step by Step Solution

1. Step 1: Write the proportion equation
   123.40 : 186.05 = 186.05 : x
2. Step 2: Convert to fraction form
   123.40/186.05 = 186.05/x
3. Step 3: Cross multiply
   123.40x = 186.05 × 186.05
4. Step 4: Simplify right side
   123.40x = 34,613.44
5. Step 5: Solve for x
   x = 34,613.44/123.40
6. Step 6: Final answer
   x = 280.50