Finding the Third Proportional to 122,010 and 194,814

Step by Step Solution

1. Step 1: Write the proportion equation
   122,010 : 194,814 = 194,814 : x
2. Step 2: Convert to fraction form
   122,010/194,814 = 194,814/x
3. Step 3: Cross multiply
   122,010x = 194,814 × 194,814
4. Step 4: Simplify right side
   122,010x = 37,952,494,596
5. Step 5: Solve for x
   x = 37,952,494,596/122,010
6. Step 6: Final answer
   x = 311,060.52