Finding the Third Proportional to 65,997 and 142,271

Step by Step Solution

1. Step 1: Write the proportion equation
   65,997 : 142,271 = 142,271 : x
2. Step 2: Convert to fraction form
   65,997/142,271 = 142,271/x
3. Step 3: Cross multiply
   65,997x = 142,271 × 142,271
4. Step 4: Simplify right side
   65,997x = 20,241,037,441
5. Step 5: Solve for x
   x = 20,241,037,441/65,997
6. Step 6: Final answer
   x = 306,696.33