Finding the Third Proportional to 108,844 and 166,488

Step by Step Solution

1. Step 1: Write the proportion equation
   108,844 : 166,488 = 166,488 : x
2. Step 2: Convert to fraction form
   108,844/166,488 = 166,488/x
3. Step 3: Cross multiply
   108,844x = 166,488 × 166,488
4. Step 4: Simplify right side
   108,844x = 27,718,254,144
5. Step 5: Solve for x
   x = 27,718,254,144/108,844
6. Step 6: Final answer
   x = 254,660.38