Finding the Third Proportional to 65,646 and 139,488

Step by Step Solution

1. Step 1: Write the proportion equation
   65,646 : 139,488 = 139,488 : x
2. Step 2: Convert to fraction form
   65,646/139,488 = 139,488/x
3. Step 3: Cross multiply
   65,646x = 139,488 × 139,488
4. Step 4: Simplify right side
   65,646x = 19,456,902,144
5. Step 5: Solve for x
   x = 19,456,902,144/65,646
6. Step 6: Final answer
   x = 296,391.28