Finding the Third Proportional to 65,505 and 140,355

Step by Step Solution

1. Step 1: Write the proportion equation
   65,505 : 140,355 = 140,355 : x
2. Step 2: Convert to fraction form
   65,505/140,355 = 140,355/x
3. Step 3: Cross multiply
   65,505x = 140,355 × 140,355
4. Step 4: Simplify right side
   65,505x = 19,699,526,025
5. Step 5: Solve for x
   x = 19,699,526,025/65,505
6. Step 6: Final answer
   x = 300,733.17