Finding the Third Proportional to 80,223 and 123,318

Step by Step Solution

1. Step 1: Write the proportion equation
   80,223 : 123,318 = 123,318 : x
2. Step 2: Convert to fraction form
   80,223/123,318 = 123,318/x
3. Step 3: Cross multiply
   80,223x = 123,318 × 123,318
4. Step 4: Simplify right side
   80,223x = 15,207,329,124
5. Step 5: Solve for x
   x = 15,207,329,124/80,223
6. Step 6: Final answer
   x = 189,563.21