Finding the Third Proportional to 137,320.50 and 195,993

Step by Step Solution

1. Step 1: Write the proportion equation
   137,320.50 : 195,993 = 195,993 : x
2. Step 2: Convert to fraction form
   137,320.50/195,993 = 195,993/x
3. Step 3: Cross multiply
   137,320.50x = 195,993 × 195,993
4. Step 4: Simplify right side
   137,320.50x = 38,413,256,049
5. Step 5: Solve for x
   x = 38,413,256,049/137,320.50
6. Step 6: Final answer
   x = 279,734.32