Finding the Third Proportional to 65,664 and 142,344

Step by Step Solution

1. Step 1: Write the proportion equation
   65,664 : 142,344 = 142,344 : x
2. Step 2: Convert to fraction form
   65,664/142,344 = 142,344/x
3. Step 3: Cross multiply
   65,664x = 142,344 × 142,344
4. Step 4: Simplify right side
   65,664x = 20,261,814,336
5. Step 5: Solve for x
   x = 20,261,814,336/65,664
6. Step 6: Final answer
   x = 308,568.08