Finding the Third Proportional to 105,821 and 164,034

Step by Step Solution

1. Step 1: Write the proportion equation
   105,821 : 164,034 = 164,034 : x
2. Step 2: Convert to fraction form
   105,821/164,034 = 164,034/x
3. Step 3: Cross multiply
   105,821x = 164,034 × 164,034
4. Step 4: Simplify right side
   105,821x = 26,907,153,156
5. Step 5: Solve for x
   x = 26,907,153,156/105,821
6. Step 6: Final answer
   x = 254,270.45