Finding the Third Proportional to 105,854 and 164,084

Step by Step Solution

1. Step 1: Write the proportion equation
   105,854 : 164,084 = 164,084 : x
2. Step 2: Convert to fraction form
   105,854/164,084 = 164,084/x
3. Step 3: Cross multiply
   105,854x = 164,084 × 164,084
4. Step 4: Simplify right side
   105,854x = 26,923,559,056
5. Step 5: Solve for x
   x = 26,923,559,056/105,854
6. Step 6: Final answer
   x = 254,346.17