Finding the Third Proportional to 185.81 and 279.25

Step by Step Solution

1. Step 1: Write the proportion equation
   185.81 : 279.25 = 279.25 : x
2. Step 2: Convert to fraction form
   185.81/279.25 = 279.25/x
3. Step 3: Cross multiply
   185.81x = 279.25 × 279.25
4. Step 4: Simplify right side
   185.81x = 77,979.61
5. Step 5: Solve for x
   x = 77,979.61/185.81
6. Step 6: Final answer
   x = 419.67