Finding the Third Proportional to 108,719 and 166,321

Step by Step Solution

1. Step 1: Write the proportion equation
   108,719 : 166,321 = 166,321 : x
2. Step 2: Convert to fraction form
   108,719/166,321 = 166,321/x
3. Step 3: Cross multiply
   108,719x = 166,321 × 166,321
4. Step 4: Simplify right side
   108,719x = 27,662,675,041
5. Step 5: Solve for x
   x = 27,662,675,041/108,719
6. Step 6: Final answer
   x = 254,441.96