Finding the Third Proportional to 113,866 and 171,166

Step by Step Solution

1. Step 1: Write the proportion equation
   113,866 : 171,166 = 171,166 : x
2. Step 2: Convert to fraction form
   113,866/171,166 = 171,166/x
3. Step 3: Cross multiply
   113,866x = 171,166 × 171,166
4. Step 4: Simplify right side
   113,866x = 29,297,799,556
5. Step 5: Solve for x
   x = 29,297,799,556/113,866
6. Step 6: Final answer
   x = 257,300.68