Finding the Third Proportional to 72,638 and 155,644

Step by Step Solution

1. Step 1: Write the proportion equation
   72,638 : 155,644 = 155,644 : x
2. Step 2: Convert to fraction form
   72,638/155,644 = 155,644/x
3. Step 3: Cross multiply
   72,638x = 155,644 × 155,644
4. Step 4: Simplify right side
   72,638x = 24,225,054,736
5. Step 5: Solve for x
   x = 24,225,054,736/72,638
6. Step 6: Final answer
   x = 333,503.88