Finding the Third Proportional to 65,868 and 139,574

Step by Step Solution

1. Step 1: Write the proportion equation
   65,868 : 139,574 = 139,574 : x
2. Step 2: Convert to fraction form
   65,868/139,574 = 139,574/x
3. Step 3: Cross multiply
   65,868x = 139,574 × 139,574
4. Step 4: Simplify right side
   65,868x = 19,480,901,476
5. Step 5: Solve for x
   x = 19,480,901,476/65,868
6. Step 6: Final answer
   x = 295,756.69