Finding the Third Proportional to 65,781 and 142,083

Step by Step Solution

1. Step 1: Write the proportion equation
   65,781 : 142,083 = 142,083 : x
2. Step 2: Convert to fraction form
   65,781/142,083 = 142,083/x
3. Step 3: Cross multiply
   65,781x = 142,083 × 142,083
4. Step 4: Simplify right side
   65,781x = 20,187,578,889
5. Step 5: Solve for x
   x = 20,187,578,889/65,781
6. Step 6: Final answer
   x = 306,890.73