Finding the Third Proportional to 83.81 and 184.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83.81 : 184.69 = 184.69 : x
2. Step 2: Convert to fraction form
   83.81/184.69 = 184.69/x
3. Step 3: Cross multiply
   83.81x = 184.69 × 184.69
4. Step 4: Simplify right side
   83.81x = 34,109.47
5. Step 5: Solve for x
   x = 34,109.47/83.81
6. Step 6: Final answer
   x = 406.97