Finding the Third Proportional to 82,806 and 110,858

Step by Step Solution

1. Step 1: Write the proportion equation
   82,806 : 110,858 = 110,858 : x
2. Step 2: Convert to fraction form
   82,806/110,858 = 110,858/x
3. Step 3: Cross multiply
   82,806x = 110,858 × 110,858
4. Step 4: Simplify right side
   82,806x = 12,289,496,164
5. Step 5: Solve for x
   x = 12,289,496,164/82,806
6. Step 6: Final answer
   x = 148,413.11