Finding the Third Proportional to 71,371 and 109,745

Step by Step Solution

1. Step 1: Write the proportion equation
   71,371 : 109,745 = 109,745 : x
2. Step 2: Convert to fraction form
   71,371/109,745 = 109,745/x
3. Step 3: Cross multiply
   71,371x = 109,745 × 109,745
4. Step 4: Simplify right side
   71,371x = 12,043,965,025
5. Step 5: Solve for x
   x = 12,043,965,025/71,371
6. Step 6: Final answer
   x = 168,751.52