Finding the Third Proportional to 65,943 and 139,734

Step by Step Solution

1. Step 1: Write the proportion equation
   65,943 : 139,734 = 139,734 : x
2. Step 2: Convert to fraction form
   65,943/139,734 = 139,734/x
3. Step 3: Cross multiply
   65,943x = 139,734 × 139,734
4. Step 4: Simplify right side
   65,943x = 19,525,590,756
5. Step 5: Solve for x
   x = 19,525,590,756/65,943
6. Step 6: Final answer
   x = 296,098.01