Finding the Third Proportional to 72,494 and 159,704

Step by Step Solution

1. Step 1: Write the proportion equation
   72,494 : 159,704 = 159,704 : x
2. Step 2: Convert to fraction form
   72,494/159,704 = 159,704/x
3. Step 3: Cross multiply
   72,494x = 159,704 × 159,704
4. Step 4: Simplify right side
   72,494x = 25,505,367,616
5. Step 5: Solve for x
   x = 25,505,367,616/72,494
6. Step 6: Final answer
   x = 351,827.29