Finding the Third Proportional to 65,109 and 142,683

Step by Step Solution

1. Step 1: Write the proportion equation
   65,109 : 142,683 = 142,683 : x
2. Step 2: Convert to fraction form
   65,109/142,683 = 142,683/x
3. Step 3: Cross multiply
   65,109x = 142,683 × 142,683
4. Step 4: Simplify right side
   65,109x = 20,358,438,489
5. Step 5: Solve for x
   x = 20,358,438,489/65,109
6. Step 6: Final answer
   x = 312,682.40