Finding the Third Proportional to 41,778 and 86,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,778 : 86,323.50 = 86,323.50 : x
2. Step 2: Convert to fraction form
   41,778/86,323.50 = 86,323.50/x
3. Step 3: Cross multiply
   41,778x = 86,323.50 × 86,323.50
4. Step 4: Simplify right side
   41,778x = 7,451,746,652.25
5. Step 5: Solve for x
   x = 7,451,746,652.25/41,778
6. Step 6: Final answer
   x = 178,365.33