Finding the Third Proportional to 65,824 and 144,140

Step by Step Solution

1. Step 1: Write the proportion equation
   65,824 : 144,140 = 144,140 : x
2. Step 2: Convert to fraction form
   65,824/144,140 = 144,140/x
3. Step 3: Cross multiply
   65,824x = 144,140 × 144,140
4. Step 4: Simplify right side
   65,824x = 20,776,339,600
5. Step 5: Solve for x
   x = 20,776,339,600/65,824
6. Step 6: Final answer
   x = 315,634.72