Finding the Third Proportional to 65,662 and 139,530

Step by Step Solution

1. Step 1: Write the proportion equation
   65,662 : 139,530 = 139,530 : x
2. Step 2: Convert to fraction form
   65,662/139,530 = 139,530/x
3. Step 3: Cross multiply
   65,662x = 139,530 × 139,530
4. Step 4: Simplify right side
   65,662x = 19,468,620,900
5. Step 5: Solve for x
   x = 19,468,620,900/65,662
6. Step 6: Final answer
   x = 296,497.53