Finding the Third Proportional to 105,811 and 164,019

Step by Step Solution

1. Step 1: Write the proportion equation
   105,811 : 164,019 = 164,019 : x
2. Step 2: Convert to fraction form
   105,811/164,019 = 164,019/x
3. Step 3: Cross multiply
   105,811x = 164,019 × 164,019
4. Step 4: Simplify right side
   105,811x = 26,902,232,361
5. Step 5: Solve for x
   x = 26,902,232,361/105,811
6. Step 6: Final answer
   x = 254,247.97