Finding the Third Proportional to 105,870 and 164,108

Step by Step Solution

1. Step 1: Write the proportion equation
   105,870 : 164,108 = 164,108 : x
2. Step 2: Convert to fraction form
   105,870/164,108 = 164,108/x
3. Step 3: Cross multiply
   105,870x = 164,108 × 164,108
4. Step 4: Simplify right side
   105,870x = 26,931,435,664
5. Step 5: Solve for x
   x = 26,931,435,664/105,870
6. Step 6: Final answer
   x = 254,382.13