Finding the Third Proportional to 122,838 and 194,766.75

Step by Step Solution

1. Step 1: Write the proportion equation
   122,838 : 194,766.75 = 194,766.75 : x
2. Step 2: Convert to fraction form
   122,838/194,766.75 = 194,766.75/x
3. Step 3: Cross multiply
   122,838x = 194,766.75 × 194,766.75
4. Step 4: Simplify right side
   122,838x = 37,934,086,905.56
5. Step 5: Solve for x
   x = 37,934,086,905.56/122,838
6. Step 6: Final answer
   x = 308,813.94