Finding the Third Proportional to 85,114 and 128,856

Step by Step Solution

1. Step 1: Write the proportion equation
   85,114 : 128,856 = 128,856 : x
2. Step 2: Convert to fraction form
   85,114/128,856 = 128,856/x
3. Step 3: Cross multiply
   85,114x = 128,856 × 128,856
4. Step 4: Simplify right side
   85,114x = 16,603,868,736
5. Step 5: Solve for x
   x = 16,603,868,736/85,114
6. Step 6: Final answer
   x = 195,078.00