Finding the Third Proportional to 72,816 and 159,200

Step by Step Solution

1. Step 1: Write the proportion equation
   72,816 : 159,200 = 159,200 : x
2. Step 2: Convert to fraction form
   72,816/159,200 = 159,200/x
3. Step 3: Cross multiply
   72,816x = 159,200 × 159,200
4. Step 4: Simplify right side
   72,816x = 25,344,640,000
5. Step 5: Solve for x
   x = 25,344,640,000/72,816
6. Step 6: Final answer
   x = 348,064.16