Finding the Third Proportional to 65,779 and 139,766

Step by Step Solution

1. Step 1: Write the proportion equation
   65,779 : 139,766 = 139,766 : x
2. Step 2: Convert to fraction form
   65,779/139,766 = 139,766/x
3. Step 3: Cross multiply
   65,779x = 139,766 × 139,766
4. Step 4: Simplify right side
   65,779x = 19,534,534,756
5. Step 5: Solve for x
   x = 19,534,534,756/65,779
6. Step 6: Final answer
   x = 296,972.21