Finding the Third Proportional to 95,365 and 140,128

Step by Step Solution

1. Step 1: Write the proportion equation
   95,365 : 140,128 = 140,128 : x
2. Step 2: Convert to fraction form
   95,365/140,128 = 140,128/x
3. Step 3: Cross multiply
   95,365x = 140,128 × 140,128
4. Step 4: Simplify right side
   95,365x = 19,635,856,384
5. Step 5: Solve for x
   x = 19,635,856,384/95,365
6. Step 6: Final answer
   x = 205,902.13