Finding the Third Proportional to 65,040 and 139,296

Step by Step Solution

1. Step 1: Write the proportion equation
   65,040 : 139,296 = 139,296 : x
2. Step 2: Convert to fraction form
   65,040/139,296 = 139,296/x
3. Step 3: Cross multiply
   65,040x = 139,296 × 139,296
4. Step 4: Simplify right side
   65,040x = 19,403,375,616
5. Step 5: Solve for x
   x = 19,403,375,616/65,040
6. Step 6: Final answer
   x = 298,329.88