Finding the Third Proportional to 65,538 and 139,660.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,538 : 139,660.50 = 139,660.50 : x
2. Step 2: Convert to fraction form
   65,538/139,660.50 = 139,660.50/x
3. Step 3: Cross multiply
   65,538x = 139,660.50 × 139,660.50
4. Step 4: Simplify right side
   65,538x = 19,505,055,260.25
5. Step 5: Solve for x
   x = 19,505,055,260.25/65,538
6. Step 6: Final answer
   x = 297,614.44