Finding the Third Proportional to 40,857 and 83,442

Step by Step Solution

1. Step 1: Write the proportion equation
   40,857 : 83,442 = 83,442 : x
2. Step 2: Convert to fraction form
   40,857/83,442 = 83,442/x
3. Step 3: Cross multiply
   40,857x = 83,442 × 83,442
4. Step 4: Simplify right side
   40,857x = 6,962,567,364
5. Step 5: Solve for x
   x = 6,962,567,364/40,857
6. Step 6: Final answer
   x = 170,413.08