Finding the Third Proportional to 65,886 and 139,116

Step by Step Solution

1. Step 1: Write the proportion equation
   65,886 : 139,116 = 139,116 : x
2. Step 2: Convert to fraction form
   65,886/139,116 = 139,116/x
3. Step 3: Cross multiply
   65,886x = 139,116 × 139,116
4. Step 4: Simplify right side
   65,886x = 19,353,261,456
5. Step 5: Solve for x
   x = 19,353,261,456/65,886
6. Step 6: Final answer
   x = 293,738.60