Finding the Third Proportional to 65,746 and 139,684

Step by Step Solution

1. Step 1: Write the proportion equation
   65,746 : 139,684 = 139,684 : x
2. Step 2: Convert to fraction form
   65,746/139,684 = 139,684/x
3. Step 3: Cross multiply
   65,746x = 139,684 × 139,684
4. Step 4: Simplify right side
   65,746x = 19,511,619,856
5. Step 5: Solve for x
   x = 19,511,619,856/65,746
6. Step 6: Final answer
   x = 296,772.73