Finding the Third Proportional to 71,896 and 155,020

Step by Step Solution

1. Step 1: Write the proportion equation
   71,896 : 155,020 = 155,020 : x
2. Step 2: Convert to fraction form
   71,896/155,020 = 155,020/x
3. Step 3: Cross multiply
   71,896x = 155,020 × 155,020
4. Step 4: Simplify right side
   71,896x = 24,031,200,400
5. Step 5: Solve for x
   x = 24,031,200,400/71,896
6. Step 6: Final answer
   x = 334,249.48