Finding the Third Proportional to 71,673 and 141,582

Step by Step Solution

1. Step 1: Write the proportion equation
   71,673 : 141,582 = 141,582 : x
2. Step 2: Convert to fraction form
   71,673/141,582 = 141,582/x
3. Step 3: Cross multiply
   71,673x = 141,582 × 141,582
4. Step 4: Simplify right side
   71,673x = 20,045,462,724
5. Step 5: Solve for x
   x = 20,045,462,724/71,673
6. Step 6: Final answer
   x = 279,679.42