Finding the Third Proportional to 123.94 and 185.81

Step by Step Solution

1. Step 1: Write the proportion equation
   123.94 : 185.81 = 185.81 : x
2. Step 2: Convert to fraction form
   123.94/185.81 = 185.81/x
3. Step 3: Cross multiply
   123.94x = 185.81 × 185.81
4. Step 4: Simplify right side
   123.94x = 34,526.29
5. Step 5: Solve for x
   x = 34,526.29/123.94
6. Step 6: Final answer
   x = 278.58