Finding the Third Proportional to 83,373 and 196,689

Step by Step Solution

1. Step 1: Write the proportion equation
   83,373 : 196,689 = 196,689 : x
2. Step 2: Convert to fraction form
   83,373/196,689 = 196,689/x
3. Step 3: Cross multiply
   83,373x = 196,689 × 196,689
4. Step 4: Simplify right side
   83,373x = 38,686,562,721
5. Step 5: Solve for x
   x = 38,686,562,721/83,373
6. Step 6: Final answer
   x = 464,017.88