Finding the Third Proportional to 65,888 and 140,128

Step by Step Solution

1. Step 1: Write the proportion equation
   65,888 : 140,128 = 140,128 : x
2. Step 2: Convert to fraction form
   65,888/140,128 = 140,128/x
3. Step 3: Cross multiply
   65,888x = 140,128 × 140,128
4. Step 4: Simplify right side
   65,888x = 19,635,856,384
5. Step 5: Solve for x
   x = 19,635,856,384/65,888
6. Step 6: Final answer
   x = 298,018.70