Finding the Third Proportional to 108,980 and 164,098

Step by Step Solution

1. Step 1: Write the proportion equation
   108,980 : 164,098 = 164,098 : x
2. Step 2: Convert to fraction form
   108,980/164,098 = 164,098/x
3. Step 3: Cross multiply
   108,980x = 164,098 × 164,098
4. Step 4: Simplify right side
   108,980x = 26,928,153,604
5. Step 5: Solve for x
   x = 26,928,153,604/108,980
6. Step 6: Final answer
   x = 247,092.62