Finding the Third Proportional to 65,786 and 142,082

Step by Step Solution

1. Step 1: Write the proportion equation
   65,786 : 142,082 = 142,082 : x
2. Step 2: Convert to fraction form
   65,786/142,082 = 142,082/x
3. Step 3: Cross multiply
   65,786x = 142,082 × 142,082
4. Step 4: Simplify right side
   65,786x = 20,187,294,724
5. Step 5: Solve for x
   x = 20,187,294,724/65,786
6. Step 6: Final answer
   x = 306,863.08