Finding the Third Proportional to 65,848 and 142,880

Step by Step Solution

1. Step 1: Write the proportion equation
   65,848 : 142,880 = 142,880 : x
2. Step 2: Convert to fraction form
   65,848/142,880 = 142,880/x
3. Step 3: Cross multiply
   65,848x = 142,880 × 142,880
4. Step 4: Simplify right side
   65,848x = 20,414,694,400
5. Step 5: Solve for x
   x = 20,414,694,400/65,848
6. Step 6: Final answer
   x = 310,027.55