Finding the Third Proportional to 72,826 and 111,355

Step by Step Solution

1. Step 1: Write the proportion equation
   72,826 : 111,355 = 111,355 : x
2. Step 2: Convert to fraction form
   72,826/111,355 = 111,355/x
3. Step 3: Cross multiply
   72,826x = 111,355 × 111,355
4. Step 4: Simplify right side
   72,826x = 12,399,936,025
5. Step 5: Solve for x
   x = 12,399,936,025/72,826
6. Step 6: Final answer
   x = 170,267.98