Finding the Third Proportional to 65,838 and 140,424

Step by Step Solution

1. Step 1: Write the proportion equation
   65,838 : 140,424 = 140,424 : x
2. Step 2: Convert to fraction form
   65,838/140,424 = 140,424/x
3. Step 3: Cross multiply
   65,838x = 140,424 × 140,424
4. Step 4: Simplify right side
   65,838x = 19,718,899,776
5. Step 5: Solve for x
   x = 19,718,899,776/65,838
6. Step 6: Final answer
   x = 299,506.36