Finding the Third Proportional to 71,541 and 155,384

Step by Step Solution

1. Step 1: Write the proportion equation
   71,541 : 155,384 = 155,384 : x
2. Step 2: Convert to fraction form
   71,541/155,384 = 155,384/x
3. Step 3: Cross multiply
   71,541x = 155,384 × 155,384
4. Step 4: Simplify right side
   71,541x = 24,144,187,456
5. Step 5: Solve for x
   x = 24,144,187,456/71,541
6. Step 6: Final answer
   x = 337,487.42