Finding the Third Proportional to 65,128 and 140,208

Step by Step Solution

1. Step 1: Write the proportion equation
   65,128 : 140,208 = 140,208 : x
2. Step 2: Convert to fraction form
   65,128/140,208 = 140,208/x
3. Step 3: Cross multiply
   65,128x = 140,208 × 140,208
4. Step 4: Simplify right side
   65,128x = 19,658,283,264
5. Step 5: Solve for x
   x = 19,658,283,264/65,128
6. Step 6: Final answer
   x = 301,840.73