Finding the Third Proportional to 65,880 and 142,104

Step by Step Solution

1. Step 1: Write the proportion equation
   65,880 : 142,104 = 142,104 : x
2. Step 2: Convert to fraction form
   65,880/142,104 = 142,104/x
3. Step 3: Cross multiply
   65,880x = 142,104 × 142,104
4. Step 4: Simplify right side
   65,880x = 20,193,546,816
5. Step 5: Solve for x
   x = 20,193,546,816/65,880
6. Step 6: Final answer
   x = 306,520.14