Finding the Third Proportional to 99.38 and 164.94

Step by Step Solution

1. Step 1: Write the proportion equation
   99.38 : 164.94 = 164.94 : x
2. Step 2: Convert to fraction form
   99.38/164.94 = 164.94/x
3. Step 3: Cross multiply
   99.38x = 164.94 × 164.94
4. Step 4: Simplify right side
   99.38x = 27,204.38
5. Step 5: Solve for x
   x = 27,204.38/99.38
6. Step 6: Final answer
   x = 273.75