Finding the Third Proportional to 83,559 and 123,496

Step by Step Solution

1. Step 1: Write the proportion equation
   83,559 : 123,496 = 123,496 : x
2. Step 2: Convert to fraction form
   83,559/123,496 = 123,496/x
3. Step 3: Cross multiply
   83,559x = 123,496 × 123,496
4. Step 4: Simplify right side
   83,559x = 15,251,262,016
5. Step 5: Solve for x
   x = 15,251,262,016/83,559
6. Step 6: Final answer
   x = 182,520.88