Finding the Third Proportional to 72,456 and 149,568

Step by Step Solution

1. Step 1: Write the proportion equation
   72,456 : 149,568 = 149,568 : x
2. Step 2: Convert to fraction form
   72,456/149,568 = 149,568/x
3. Step 3: Cross multiply
   72,456x = 149,568 × 149,568
4. Step 4: Simplify right side
   72,456x = 22,370,586,624
5. Step 5: Solve for x
   x = 22,370,586,624/72,456
6. Step 6: Final answer
   x = 308,747.19