Finding the Third Proportional to 40,864.50 and 86,166

Step by Step Solution

1. Step 1: Write the proportion equation
   40,864.50 : 86,166 = 86,166 : x
2. Step 2: Convert to fraction form
   40,864.50/86,166 = 86,166/x
3. Step 3: Cross multiply
   40,864.50x = 86,166 × 86,166
4. Step 4: Simplify right side
   40,864.50x = 7,424,579,556
5. Step 5: Solve for x
   x = 7,424,579,556/40,864.50
6. Step 6: Final answer
   x = 181,687.76