Finding the Third Proportional to 69,780 and 150,009

Step by Step Solution

1. Step 1: Write the proportion equation
   69,780 : 150,009 = 150,009 : x
2. Step 2: Convert to fraction form
   69,780/150,009 = 150,009/x
3. Step 3: Cross multiply
   69,780x = 150,009 × 150,009
4. Step 4: Simplify right side
   69,780x = 22,502,700,081
5. Step 5: Solve for x
   x = 22,502,700,081/69,780
6. Step 6: Final answer
   x = 322,480.65