Finding the Third Proportional to 83,298 and 133,227

Step by Step Solution

1. Step 1: Write the proportion equation
   83,298 : 133,227 = 133,227 : x
2. Step 2: Convert to fraction form
   83,298/133,227 = 133,227/x
3. Step 3: Cross multiply
   83,298x = 133,227 × 133,227
4. Step 4: Simplify right side
   83,298x = 17,749,433,529
5. Step 5: Solve for x
   x = 17,749,433,529/83,298
6. Step 6: Final answer
   x = 213,083.55