Finding the Third Proportional to 40,265 and 86,071

Step by Step Solution

1. Step 1: Write the proportion equation
   40,265 : 86,071 = 86,071 : x
2. Step 2: Convert to fraction form
   40,265/86,071 = 86,071/x
3. Step 3: Cross multiply
   40,265x = 86,071 × 86,071
4. Step 4: Simplify right side
   40,265x = 7,408,217,041
5. Step 5: Solve for x
   x = 7,408,217,041/40,265
6. Step 6: Final answer
   x = 183,986.52