Finding the Third Proportional to 158,688 and 225,600

Step by Step Solution

1. Step 1: Write the proportion equation
   158,688 : 225,600 = 225,600 : x
2. Step 2: Convert to fraction form
   158,688/225,600 = 225,600/x
3. Step 3: Cross multiply
   158,688x = 225,600 × 225,600
4. Step 4: Simplify right side
   158,688x = 50,895,360,000
5. Step 5: Solve for x
   x = 50,895,360,000/158,688
6. Step 6: Final answer
   x = 320,725.95