Finding the Third Proportional to 72,206 and 150,970

Step by Step Solution

1. Step 1: Write the proportion equation
   72,206 : 150,970 = 150,970 : x
2. Step 2: Convert to fraction form
   72,206/150,970 = 150,970/x
3. Step 3: Cross multiply
   72,206x = 150,970 × 150,970
4. Step 4: Simplify right side
   72,206x = 22,791,940,900
5. Step 5: Solve for x
   x = 22,791,940,900/72,206
6. Step 6: Final answer
   x = 315,651.62