Finding the Third Proportional to 65,906 and 142,180

Step by Step Solution

1. Step 1: Write the proportion equation
   65,906 : 142,180 = 142,180 : x
2. Step 2: Convert to fraction form
   65,906/142,180 = 142,180/x
3. Step 3: Cross multiply
   65,906x = 142,180 × 142,180
4. Step 4: Simplify right side
   65,906x = 20,215,152,400
5. Step 5: Solve for x
   x = 20,215,152,400/65,906
6. Step 6: Final answer
   x = 306,727.04