Finding the Third Proportional to 65,740 and 142,660

Step by Step Solution

1. Step 1: Write the proportion equation
   65,740 : 142,660 = 142,660 : x
2. Step 2: Convert to fraction form
   65,740/142,660 = 142,660/x
3. Step 3: Cross multiply
   65,740x = 142,660 × 142,660
4. Step 4: Simplify right side
   65,740x = 20,351,875,600
5. Step 5: Solve for x
   x = 20,351,875,600/65,740
6. Step 6: Final answer
   x = 309,581.31