Finding the Third Proportional to 82,204 and 123,318

Step by Step Solution

1. Step 1: Write the proportion equation
   82,204 : 123,318 = 123,318 : x
2. Step 2: Convert to fraction form
   82,204/123,318 = 123,318/x
3. Step 3: Cross multiply
   82,204x = 123,318 × 123,318
4. Step 4: Simplify right side
   82,204x = 15,207,329,124
5. Step 5: Solve for x
   x = 15,207,329,124/82,204
6. Step 6: Final answer
   x = 184,995.00