Finding the Third Proportional to 82,208 and 123,087

Step by Step Solution

1. Step 1: Write the proportion equation
   82,208 : 123,087 = 123,087 : x
2. Step 2: Convert to fraction form
   82,208/123,087 = 123,087/x
3. Step 3: Cross multiply
   82,208x = 123,087 × 123,087
4. Step 4: Simplify right side
   82,208x = 15,150,409,569
5. Step 5: Solve for x
   x = 15,150,409,569/82,208
6. Step 6: Final answer
   x = 184,293.62