Finding the Third Proportional to 65,424 and 139,596

Step by Step Solution

1. Step 1: Write the proportion equation
   65,424 : 139,596 = 139,596 : x
2. Step 2: Convert to fraction form
   65,424/139,596 = 139,596/x
3. Step 3: Cross multiply
   65,424x = 139,596 × 139,596
4. Step 4: Simplify right side
   65,424x = 19,487,043,216
5. Step 5: Solve for x
   x = 19,487,043,216/65,424
6. Step 6: Final answer
   x = 297,857.72