Finding the Third Proportional to 72,624 and 159,504

Step by Step Solution

1. Step 1: Write the proportion equation
   72,624 : 159,504 = 159,504 : x
2. Step 2: Convert to fraction form
   72,624/159,504 = 159,504/x
3. Step 3: Cross multiply
   72,624x = 159,504 × 159,504
4. Step 4: Simplify right side
   72,624x = 25,441,526,016
5. Step 5: Solve for x
   x = 25,441,526,016/72,624
6. Step 6: Final answer
   x = 350,318.43