Finding the Third Proportional to 65,040 and 142,272

Step by Step Solution

1. Step 1: Write the proportion equation
   65,040 : 142,272 = 142,272 : x
2. Step 2: Convert to fraction form
   65,040/142,272 = 142,272/x
3. Step 3: Cross multiply
   65,040x = 142,272 × 142,272
4. Step 4: Simplify right side
   65,040x = 20,241,321,984
5. Step 5: Solve for x
   x = 20,241,321,984/65,040
6. Step 6: Final answer
   x = 311,213.44