Finding the Third Proportional to 108,786 and 166,419

Step by Step Solution

1. Step 1: Write the proportion equation
   108,786 : 166,419 = 166,419 : x
2. Step 2: Convert to fraction form
   108,786/166,419 = 166,419/x
3. Step 3: Cross multiply
   108,786x = 166,419 × 166,419
4. Step 4: Simplify right side
   108,786x = 27,695,283,561
5. Step 5: Solve for x
   x = 27,695,283,561/108,786
6. Step 6: Final answer
   x = 254,585.00