Finding the Third Proportional to 65,945 and 139,738

Step by Step Solution

1. Step 1: Write the proportion equation
   65,945 : 139,738 = 139,738 : x
2. Step 2: Convert to fraction form
   65,945/139,738 = 139,738/x
3. Step 3: Cross multiply
   65,945x = 139,738 × 139,738
4. Step 4: Simplify right side
   65,945x = 19,526,708,644
5. Step 5: Solve for x
   x = 19,526,708,644/65,945
6. Step 6: Final answer
   x = 296,105.98