Finding the Third Proportional to 40,779 and 83,610

Step by Step Solution

1. Step 1: Write the proportion equation
   40,779 : 83,610 = 83,610 : x
2. Step 2: Convert to fraction form
   40,779/83,610 = 83,610/x
3. Step 3: Cross multiply
   40,779x = 83,610 × 83,610
4. Step 4: Simplify right side
   40,779x = 6,990,632,100
5. Step 5: Solve for x
   x = 6,990,632,100/40,779
6. Step 6: Final answer
   x = 171,427.26