Finding the Third Proportional to 65,596 and 142,064

Step by Step Solution

1. Step 1: Write the proportion equation
   65,596 : 142,064 = 142,064 : x
2. Step 2: Convert to fraction form
   65,596/142,064 = 142,064/x
3. Step 3: Cross multiply
   65,596x = 142,064 × 142,064
4. Step 4: Simplify right side
   65,596x = 20,182,180,096
5. Step 5: Solve for x
   x = 20,182,180,096/65,596
6. Step 6: Final answer
   x = 307,673.94