Finding the Third Proportional to 65,858 and 139,204

Step by Step Solution

1. Step 1: Write the proportion equation
   65,858 : 139,204 = 139,204 : x
2. Step 2: Convert to fraction form
   65,858/139,204 = 139,204/x
3. Step 3: Cross multiply
   65,858x = 139,204 × 139,204
4. Step 4: Simplify right side
   65,858x = 19,377,753,616
5. Step 5: Solve for x
   x = 19,377,753,616/65,858
6. Step 6: Final answer
   x = 294,235.38