Finding the Third Proportional to 65,535 and 139,654

Step by Step Solution

1. Step 1: Write the proportion equation
   65,535 : 139,654 = 139,654 : x
2. Step 2: Convert to fraction form
   65,535/139,654 = 139,654/x
3. Step 3: Cross multiply
   65,535x = 139,654 × 139,654
4. Step 4: Simplify right side
   65,535x = 19,503,239,716
5. Step 5: Solve for x
   x = 19,503,239,716/65,535
6. Step 6: Final answer
   x = 297,600.36