Finding the Third Proportional to 65,682 and 142,272

Step by Step Solution

1. Step 1: Write the proportion equation
   65,682 : 142,272 = 142,272 : x
2. Step 2: Convert to fraction form
   65,682/142,272 = 142,272/x
3. Step 3: Cross multiply
   65,682x = 142,272 × 142,272
4. Step 4: Simplify right side
   65,682x = 20,241,321,984
5. Step 5: Solve for x
   x = 20,241,321,984/65,682
6. Step 6: Final answer
   x = 308,171.52