Finding the Third Proportional to 72,576 and 158,400

Step by Step Solution

1. Step 1: Write the proportion equation
   72,576 : 158,400 = 158,400 : x
2. Step 2: Convert to fraction form
   72,576/158,400 = 158,400/x
3. Step 3: Cross multiply
   72,576x = 158,400 × 158,400
4. Step 4: Simplify right side
   72,576x = 25,090,560,000
5. Step 5: Solve for x
   x = 25,090,560,000/72,576
6. Step 6: Final answer
   x = 345,714.29