Finding the Third Proportional to 65,868 and 142,032

Step by Step Solution

1. Step 1: Write the proportion equation
   65,868 : 142,032 = 142,032 : x
2. Step 2: Convert to fraction form
   65,868/142,032 = 142,032/x
3. Step 3: Cross multiply
   65,868x = 142,032 × 142,032
4. Step 4: Simplify right side
   65,868x = 20,173,089,024
5. Step 5: Solve for x
   x = 20,173,089,024/65,868
6. Step 6: Final answer
   x = 306,265.39