Finding the Third Proportional to 71,416 and 150,856

Step by Step Solution

1. Step 1: Write the proportion equation
   71,416 : 150,856 = 150,856 : x
2. Step 2: Convert to fraction form
   71,416/150,856 = 150,856/x
3. Step 3: Cross multiply
   71,416x = 150,856 × 150,856
4. Step 4: Simplify right side
   71,416x = 22,757,532,736
5. Step 5: Solve for x
   x = 22,757,532,736/71,416
6. Step 6: Final answer
   x = 318,661.54