Finding the Third Proportional to 82,419 and 123,573

Step by Step Solution

1. Step 1: Write the proportion equation
   82,419 : 123,573 = 123,573 : x
2. Step 2: Convert to fraction form
   82,419/123,573 = 123,573/x
3. Step 3: Cross multiply
   82,419x = 123,573 × 123,573
4. Step 4: Simplify right side
   82,419x = 15,270,286,329
5. Step 5: Solve for x
   x = 15,270,286,329/82,419
6. Step 6: Final answer
   x = 185,276.29