Finding the Third Proportional to 65,820 and 140,400

Step by Step Solution

1. Step 1: Write the proportion equation
   65,820 : 140,400 = 140,400 : x
2. Step 2: Convert to fraction form
   65,820/140,400 = 140,400/x
3. Step 3: Cross multiply
   65,820x = 140,400 × 140,400
4. Step 4: Simplify right side
   65,820x = 19,712,160,000
5. Step 5: Solve for x
   x = 19,712,160,000/65,820
6. Step 6: Final answer
   x = 299,485.87