Finding the Third Proportional to 122,238 and 194,494

Step by Step Solution

1. Step 1: Write the proportion equation
   122,238 : 194,494 = 194,494 : x
2. Step 2: Convert to fraction form
   122,238/194,494 = 194,494/x
3. Step 3: Cross multiply
   122,238x = 194,494 × 194,494
4. Step 4: Simplify right side
   122,238x = 37,827,916,036
5. Step 5: Solve for x
   x = 37,827,916,036/122,238
6. Step 6: Final answer
   x = 309,461.18