Finding the Third Proportional to 137,320 and 195,994

Step by Step Solution

1. Step 1: Write the proportion equation
   137,320 : 195,994 = 195,994 : x
2. Step 2: Convert to fraction form
   137,320/195,994 = 195,994/x
3. Step 3: Cross multiply
   137,320x = 195,994 × 195,994
4. Step 4: Simplify right side
   137,320x = 38,413,648,036
5. Step 5: Solve for x
   x = 38,413,648,036/137,320
6. Step 6: Final answer
   x = 279,738.19