Finding the Third Proportional to 71,401 and 155,510

Step by Step Solution

1. Step 1: Write the proportion equation
   71,401 : 155,510 = 155,510 : x
2. Step 2: Convert to fraction form
   71,401/155,510 = 155,510/x
3. Step 3: Cross multiply
   71,401x = 155,510 × 155,510
4. Step 4: Simplify right side
   71,401x = 24,183,360,100
5. Step 5: Solve for x
   x = 24,183,360,100/71,401
6. Step 6: Final answer
   x = 338,697.78