Finding the Third Proportional to 122,002 and 194,802

Step by Step Solution

1. Step 1: Write the proportion equation
   122,002 : 194,802 = 194,802 : x
2. Step 2: Convert to fraction form
   122,002/194,802 = 194,802/x
3. Step 3: Cross multiply
   122,002x = 194,802 × 194,802
4. Step 4: Simplify right side
   122,002x = 37,947,819,204
5. Step 5: Solve for x
   x = 37,947,819,204/122,002
6. Step 6: Final answer
   x = 311,042.60