Finding the Third Proportional to 65,934 and 142,812

Step by Step Solution

1. Step 1: Write the proportion equation
   65,934 : 142,812 = 142,812 : x
2. Step 2: Convert to fraction form
   65,934/142,812 = 142,812/x
3. Step 3: Cross multiply
   65,934x = 142,812 × 142,812
4. Step 4: Simplify right side
   65,934x = 20,395,267,344
5. Step 5: Solve for x
   x = 20,395,267,344/65,934
6. Step 6: Final answer
   x = 309,328.53