Finding the Third Proportional to 82,690 and 123,919

Step by Step Solution

1. Step 1: Write the proportion equation
   82,690 : 123,919 = 123,919 : x
2. Step 2: Convert to fraction form
   82,690/123,919 = 123,919/x
3. Step 3: Cross multiply
   82,690x = 123,919 × 123,919
4. Step 4: Simplify right side
   82,690x = 15,355,918,561
5. Step 5: Solve for x
   x = 15,355,918,561/82,690
6. Step 6: Final answer
   x = 185,704.66