Finding the Third Proportional to 50,414 and 74,469

Step by Step Solution

1. Step 1: Write the proportion equation
   50,414 : 74,469 = 74,469 : x
2. Step 2: Convert to fraction form
   50,414/74,469 = 74,469/x
3. Step 3: Cross multiply
   50,414x = 74,469 × 74,469
4. Step 4: Simplify right side
   50,414x = 5,545,631,961
5. Step 5: Solve for x
   x = 5,545,631,961/50,414
6. Step 6: Final answer
   x = 110,001.82