Finding the Third Proportional to 65,692 and 139,226

Step by Step Solution

1. Step 1: Write the proportion equation
   65,692 : 139,226 = 139,226 : x
2. Step 2: Convert to fraction form
   65,692/139,226 = 139,226/x
3. Step 3: Cross multiply
   65,692x = 139,226 × 139,226
4. Step 4: Simplify right side
   65,692x = 19,383,879,076
5. Step 5: Solve for x
   x = 19,383,879,076/65,692
6. Step 6: Final answer
   x = 295,072.14