Finding the Third Proportional to 109,540 and 169,140

Step by Step Solution

1. Step 1: Write the proportion equation
   109,540 : 169,140 = 169,140 : x
2. Step 2: Convert to fraction form
   109,540/169,140 = 169,140/x
3. Step 3: Cross multiply
   109,540x = 169,140 × 169,140
4. Step 4: Simplify right side
   109,540x = 28,608,339,600
5. Step 5: Solve for x
   x = 28,608,339,600/109,540
6. Step 6: Final answer
   x = 261,167.97