Finding the Third Proportional to 65,996 and 139,834

Step by Step Solution

1. Step 1: Write the proportion equation
   65,996 : 139,834 = 139,834 : x
2. Step 2: Convert to fraction form
   65,996/139,834 = 139,834/x
3. Step 3: Cross multiply
   65,996x = 139,834 × 139,834
4. Step 4: Simplify right side
   65,996x = 19,553,547,556
5. Step 5: Solve for x
   x = 19,553,547,556/65,996
6. Step 6: Final answer
   x = 296,283.83