Finding the Third Proportional to 122,004 and 194,805.75

Step by Step Solution

1. Step 1: Write the proportion equation
   122,004 : 194,805.75 = 194,805.75 : x
2. Step 2: Convert to fraction form
   122,004/194,805.75 = 194,805.75/x
3. Step 3: Cross multiply
   122,004x = 194,805.75 × 194,805.75
4. Step 4: Simplify right side
   122,004x = 37,949,280,233.06
5. Step 5: Solve for x
   x = 37,949,280,233.06/122,004
6. Step 6: Final answer
   x = 311,049.48