Finding the Third Proportional to 109,744 and 169,172

Step by Step Solution

1. Step 1: Write the proportion equation
   109,744 : 169,172 = 169,172 : x
2. Step 2: Convert to fraction form
   109,744/169,172 = 169,172/x
3. Step 3: Cross multiply
   109,744x = 169,172 × 169,172
4. Step 4: Simplify right side
   109,744x = 28,619,165,584
5. Step 5: Solve for x
   x = 28,619,165,584/109,744
6. Step 6: Final answer
   x = 260,781.14