Finding the Third Proportional to 85,138 and 128,892

Step by Step Solution

1. Step 1: Write the proportion equation
   85,138 : 128,892 = 128,892 : x
2. Step 2: Convert to fraction form
   85,138/128,892 = 128,892/x
3. Step 3: Cross multiply
   85,138x = 128,892 × 128,892
4. Step 4: Simplify right side
   85,138x = 16,613,147,664
5. Step 5: Solve for x
   x = 16,613,147,664/85,138
6. Step 6: Final answer
   x = 195,131.99