Finding the Third Proportional to 71,256 and 150,522

Step by Step Solution

1. Step 1: Write the proportion equation
   71,256 : 150,522 = 150,522 : x
2. Step 2: Convert to fraction form
   71,256/150,522 = 150,522/x
3. Step 3: Cross multiply
   71,256x = 150,522 × 150,522
4. Step 4: Simplify right side
   71,256x = 22,656,872,484
5. Step 5: Solve for x
   x = 22,656,872,484/71,256
6. Step 6: Final answer
   x = 317,964.42