Finding the Third Proportional to 85,142 and 128,895

Step by Step Solution

1. Step 1: Write the proportion equation
   85,142 : 128,895 = 128,895 : x
2. Step 2: Convert to fraction form
   85,142/128,895 = 128,895/x
3. Step 3: Cross multiply
   85,142x = 128,895 × 128,895
4. Step 4: Simplify right side
   85,142x = 16,613,921,025
5. Step 5: Solve for x
   x = 16,613,921,025/85,142
6. Step 6: Final answer
   x = 195,131.91