Finding the Third Proportional to 108,540 and 168,046

Step by Step Solution

1. Step 1: Write the proportion equation
   108,540 : 168,046 = 168,046 : x
2. Step 2: Convert to fraction form
   108,540/168,046 = 168,046/x
3. Step 3: Cross multiply
   108,540x = 168,046 × 168,046
4. Step 4: Simplify right side
   108,540x = 28,239,458,116
5. Step 5: Solve for x
   x = 28,239,458,116/108,540
6. Step 6: Final answer
   x = 260,175.59