Finding the Third Proportional to 40,146 and 86,766

Step by Step Solution

1. Step 1: Write the proportion equation
   40,146 : 86,766 = 86,766 : x
2. Step 2: Convert to fraction form
   40,146/86,766 = 86,766/x
3. Step 3: Cross multiply
   40,146x = 86,766 × 86,766
4. Step 4: Simplify right side
   40,146x = 7,528,338,756
5. Step 5: Solve for x
   x = 7,528,338,756/40,146
6. Step 6: Final answer
   x = 187,524.01