Finding the Third Proportional to 85,894.50 and 128,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,894.50 : 128,446.50 = 128,446.50 : x
2. Step 2: Convert to fraction form
   85,894.50/128,446.50 = 128,446.50/x
3. Step 3: Cross multiply
   85,894.50x = 128,446.50 × 128,446.50
4. Step 4: Simplify right side
   85,894.50x = 16,498,503,362.25
5. Step 5: Solve for x
   x = 16,498,503,362.25/85,894.50
6. Step 6: Final answer
   x = 192,078.69