Finding the Third Proportional to 108,436 and 164,166

Step by Step Solution

1. Step 1: Write the proportion equation
   108,436 : 164,166 = 164,166 : x
2. Step 2: Convert to fraction form
   108,436/164,166 = 164,166/x
3. Step 3: Cross multiply
   108,436x = 164,166 × 164,166
4. Step 4: Simplify right side
   108,436x = 26,950,475,556
5. Step 5: Solve for x
   x = 26,950,475,556/108,436
6. Step 6: Final answer
   x = 248,538.08