Finding the Third Proportional to 71,772 and 154,510

Step by Step Solution

1. Step 1: Write the proportion equation
   71,772 : 154,510 = 154,510 : x
2. Step 2: Convert to fraction form
   71,772/154,510 = 154,510/x
3. Step 3: Cross multiply
   71,772x = 154,510 × 154,510
4. Step 4: Simplify right side
   71,772x = 23,873,340,100
5. Step 5: Solve for x
   x = 23,873,340,100/71,772
6. Step 6: Final answer
   x = 332,627.49