Finding the Third Proportional to 65,747 and 142,000

Step by Step Solution

1. Step 1: Write the proportion equation
   65,747 : 142,000 = 142,000 : x
2. Step 2: Convert to fraction form
   65,747/142,000 = 142,000/x
3. Step 3: Cross multiply
   65,747x = 142,000 × 142,000
4. Step 4: Simplify right side
   65,747x = 20,164,000,000
5. Step 5: Solve for x
   x = 20,164,000,000/65,747
6. Step 6: Final answer
   x = 306,690.80