Finding the Third Proportional to 105,556 and 164,033

Step by Step Solution

1. Step 1: Write the proportion equation
   105,556 : 164,033 = 164,033 : x
2. Step 2: Convert to fraction form
   105,556/164,033 = 164,033/x
3. Step 3: Cross multiply
   105,556x = 164,033 × 164,033
4. Step 4: Simplify right side
   105,556x = 26,906,825,089
5. Step 5: Solve for x
   x = 26,906,825,089/105,556
6. Step 6: Final answer
   x = 254,905.69