Finding the Third Proportional to 65,840 and 142,400

Step by Step Solution

1. Step 1: Write the proportion equation
   65,840 : 142,400 = 142,400 : x
2. Step 2: Convert to fraction form
   65,840/142,400 = 142,400/x
3. Step 3: Cross multiply
   65,840x = 142,400 × 142,400
4. Step 4: Simplify right side
   65,840x = 20,277,760,000
5. Step 5: Solve for x
   x = 20,277,760,000/65,840
6. Step 6: Final answer
   x = 307,985.42