Finding the Third Proportional to 40,779 and 82,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,779 : 82,651.50 = 82,651.50 : x
2. Step 2: Convert to fraction form
   40,779/82,651.50 = 82,651.50/x
3. Step 3: Cross multiply
   40,779x = 82,651.50 × 82,651.50
4. Step 4: Simplify right side
   40,779x = 6,831,270,452.25
5. Step 5: Solve for x
   x = 6,831,270,452.25/40,779
6. Step 6: Final answer
   x = 167,519.32