Finding the Third Proportional to 65,456 and 142,576

Step by Step Solution

1. Step 1: Write the proportion equation
   65,456 : 142,576 = 142,576 : x
2. Step 2: Convert to fraction form
   65,456/142,576 = 142,576/x
3. Step 3: Cross multiply
   65,456x = 142,576 × 142,576
4. Step 4: Simplify right side
   65,456x = 20,327,915,776
5. Step 5: Solve for x
   x = 20,327,915,776/65,456
6. Step 6: Final answer
   x = 310,558.48