Finding the Third Proportional to 109,556 and 165,054

Step by Step Solution

1. Step 1: Write the proportion equation
   109,556 : 165,054 = 165,054 : x
2. Step 2: Convert to fraction form
   109,556/165,054 = 165,054/x
3. Step 3: Cross multiply
   109,556x = 165,054 × 165,054
4. Step 4: Simplify right side
   109,556x = 27,242,822,916
5. Step 5: Solve for x
   x = 27,242,822,916/109,556
6. Step 6: Final answer
   x = 248,665.73