Finding the Third Proportional to 65,664 and 142,398

Step by Step Solution

1. Step 1: Write the proportion equation
   65,664 : 142,398 = 142,398 : x
2. Step 2: Convert to fraction form
   65,664/142,398 = 142,398/x
3. Step 3: Cross multiply
   65,664x = 142,398 × 142,398
4. Step 4: Simplify right side
   65,664x = 20,277,190,404
5. Step 5: Solve for x
   x = 20,277,190,404/65,664
6. Step 6: Final answer
   x = 308,802.24