Finding the Third Proportional to 137,792 and 301,920

Step by Step Solution

1. Step 1: Write the proportion equation
   137,792 : 301,920 = 301,920 : x
2. Step 2: Convert to fraction form
   137,792/301,920 = 301,920/x
3. Step 3: Cross multiply
   137,792x = 301,920 × 301,920
4. Step 4: Simplify right side
   137,792x = 91,155,686,400
5. Step 5: Solve for x
   x = 91,155,686,400/137,792
6. Step 6: Final answer
   x = 661,545.56