Finding the Third Proportional to 109,582 and 165,004

Step by Step Solution

1. Step 1: Write the proportion equation
   109,582 : 165,004 = 165,004 : x
2. Step 2: Convert to fraction form
   109,582/165,004 = 165,004/x
3. Step 3: Cross multiply
   109,582x = 165,004 × 165,004
4. Step 4: Simplify right side
   109,582x = 27,226,320,016
5. Step 5: Solve for x
   x = 27,226,320,016/109,582
6. Step 6: Final answer
   x = 248,456.13