Finding the Third Proportional to 108,721 and 166,323

Step by Step Solution

1. Step 1: Write the proportion equation
   108,721 : 166,323 = 166,323 : x
2. Step 2: Convert to fraction form
   108,721/166,323 = 166,323/x
3. Step 3: Cross multiply
   108,721x = 166,323 × 166,323
4. Step 4: Simplify right side
   108,721x = 27,663,340,329
5. Step 5: Solve for x
   x = 27,663,340,329/108,721
6. Step 6: Final answer
   x = 254,443.39