Finding the Third Proportional to 69,876 and 150,792

Step by Step Solution

1. Step 1: Write the proportion equation
   69,876 : 150,792 = 150,792 : x
2. Step 2: Convert to fraction form
   69,876/150,792 = 150,792/x
3. Step 3: Cross multiply
   69,876x = 150,792 × 150,792
4. Step 4: Simplify right side
   69,876x = 22,738,227,264
5. Step 5: Solve for x
   x = 22,738,227,264/69,876
6. Step 6: Final answer
   x = 325,408.26