Finding the Third Proportional to 82,010 and 133,913

Step by Step Solution

1. Step 1: Write the proportion equation
   82,010 : 133,913 = 133,913 : x
2. Step 2: Convert to fraction form
   82,010/133,913 = 133,913/x
3. Step 3: Cross multiply
   82,010x = 133,913 × 133,913
4. Step 4: Simplify right side
   82,010x = 17,932,691,569
5. Step 5: Solve for x
   x = 17,932,691,569/82,010
6. Step 6: Final answer
   x = 218,664.69