Finding the Third Proportional to 164.81 and 185.06

Step by Step Solution

1. Step 1: Write the proportion equation
   164.81 : 185.06 = 185.06 : x
2. Step 2: Convert to fraction form
   164.81/185.06 = 185.06/x
3. Step 3: Cross multiply
   164.81x = 185.06 × 185.06
4. Step 4: Simplify right side
   164.81x = 34,248.13
5. Step 5: Solve for x
   x = 34,248.13/164.81
6. Step 6: Final answer
   x = 207.80