Finding the Third Proportional to 105,896 and 164,035

Step by Step Solution

1. Step 1: Write the proportion equation
   105,896 : 164,035 = 164,035 : x
2. Step 2: Convert to fraction form
   105,896/164,035 = 164,035/x
3. Step 3: Cross multiply
   105,896x = 164,035 × 164,035
4. Step 4: Simplify right side
   105,896x = 26,907,481,225
5. Step 5: Solve for x
   x = 26,907,481,225/105,896
6. Step 6: Final answer
   x = 254,093.46