Finding the Third Proportional to 65,536 and 139,656

Step by Step Solution

1. Step 1: Write the proportion equation
   65,536 : 139,656 = 139,656 : x
2. Step 2: Convert to fraction form
   65,536/139,656 = 139,656/x
3. Step 3: Cross multiply
   65,536x = 139,656 × 139,656
4. Step 4: Simplify right side
   65,536x = 19,503,798,336
5. Step 5: Solve for x
   x = 19,503,798,336/65,536
6. Step 6: Final answer
   x = 297,604.34