Finding the Third Proportional to 105,892 and 164,029

Step by Step Solution

1. Step 1: Write the proportion equation
   105,892 : 164,029 = 164,029 : x
2. Step 2: Convert to fraction form
   105,892/164,029 = 164,029/x
3. Step 3: Cross multiply
   105,892x = 164,029 × 164,029
4. Step 4: Simplify right side
   105,892x = 26,905,512,841
5. Step 5: Solve for x
   x = 26,905,512,841/105,892
6. Step 6: Final answer
   x = 254,084.47