Finding the Third Proportional to 65,853 and 139,543

Step by Step Solution

1. Step 1: Write the proportion equation
   65,853 : 139,543 = 139,543 : x
2. Step 2: Convert to fraction form
   65,853/139,543 = 139,543/x
3. Step 3: Cross multiply
   65,853x = 139,543 × 139,543
4. Step 4: Simplify right side
   65,853x = 19,472,248,849
5. Step 5: Solve for x
   x = 19,472,248,849/65,853
6. Step 6: Final answer
   x = 295,692.66