Finding the Third Proportional to 72,523 and 158,330

Step by Step Solution

1. Step 1: Write the proportion equation
   72,523 : 158,330 = 158,330 : x
2. Step 2: Convert to fraction form
   72,523/158,330 = 158,330/x
3. Step 3: Cross multiply
   72,523x = 158,330 × 158,330
4. Step 4: Simplify right side
   72,523x = 25,068,388,900
5. Step 5: Solve for x
   x = 25,068,388,900/72,523
6. Step 6: Final answer
   x = 345,661.22