Finding the Third Proportional to 81,940 and 122,388

Step by Step Solution

1. Step 1: Write the proportion equation
   81,940 : 122,388 = 122,388 : x
2. Step 2: Convert to fraction form
   81,940/122,388 = 122,388/x
3. Step 3: Cross multiply
   81,940x = 122,388 × 122,388
4. Step 4: Simplify right side
   81,940x = 14,978,822,544
5. Step 5: Solve for x
   x = 14,978,822,544/81,940
6. Step 6: Final answer
   x = 182,802.33