Finding the Third Proportional to 69,792 and 152,622

Step by Step Solution

1. Step 1: Write the proportion equation
   69,792 : 152,622 = 152,622 : x
2. Step 2: Convert to fraction form
   69,792/152,622 = 152,622/x
3. Step 3: Cross multiply
   69,792x = 152,622 × 152,622
4. Step 4: Simplify right side
   69,792x = 23,293,474,884
5. Step 5: Solve for x
   x = 23,293,474,884/69,792
6. Step 6: Final answer
   x = 333,755.66