Finding the Third Proportional to 40,565 and 86,734

Step by Step Solution

1. Step 1: Write the proportion equation
   40,565 : 86,734 = 86,734 : x
2. Step 2: Convert to fraction form
   40,565/86,734 = 86,734/x
3. Step 3: Cross multiply
   40,565x = 86,734 × 86,734
4. Step 4: Simplify right side
   40,565x = 7,522,786,756
5. Step 5: Solve for x
   x = 7,522,786,756/40,565
6. Step 6: Final answer
   x = 185,450.19