Finding the Third Proportional to 105,878 and 164,120

Step by Step Solution

1. Step 1: Write the proportion equation
   105,878 : 164,120 = 164,120 : x
2. Step 2: Convert to fraction form
   105,878/164,120 = 164,120/x
3. Step 3: Cross multiply
   105,878x = 164,120 × 164,120
4. Step 4: Simplify right side
   105,878x = 26,935,374,400
5. Step 5: Solve for x
   x = 26,935,374,400/105,878
6. Step 6: Final answer
   x = 254,400.11