Finding the Third Proportional to 65,664 and 142,320

Step by Step Solution

1. Step 1: Write the proportion equation
   65,664 : 142,320 = 142,320 : x
2. Step 2: Convert to fraction form
   65,664/142,320 = 142,320/x
3. Step 3: Cross multiply
   65,664x = 142,320 × 142,320
4. Step 4: Simplify right side
   65,664x = 20,254,982,400
5. Step 5: Solve for x
   x = 20,254,982,400/65,664
6. Step 6: Final answer
   x = 308,464.04