Finding the Third Proportional to 69,876 and 150,822

Step by Step Solution

1. Step 1: Write the proportion equation
   69,876 : 150,822 = 150,822 : x
2. Step 2: Convert to fraction form
   69,876/150,822 = 150,822/x
3. Step 3: Cross multiply
   69,876x = 150,822 × 150,822
4. Step 4: Simplify right side
   69,876x = 22,747,275,684
5. Step 5: Solve for x
   x = 22,747,275,684/69,876
6. Step 6: Final answer
   x = 325,537.75