Finding the Third Proportional to 108,874 and 166,550

Step by Step Solution

1. Step 1: Write the proportion equation
   108,874 : 166,550 = 166,550 : x
2. Step 2: Convert to fraction form
   108,874/166,550 = 166,550/x
3. Step 3: Cross multiply
   108,874x = 166,550 × 166,550
4. Step 4: Simplify right side
   108,874x = 27,738,902,500
5. Step 5: Solve for x
   x = 27,738,902,500/108,874
6. Step 6: Final answer
   x = 254,779.86