Finding the Third Proportional to 139,738.50 and 197,538

Step by Step Solution

1. Step 1: Write the proportion equation
   139,738.50 : 197,538 = 197,538 : x
2. Step 2: Convert to fraction form
   139,738.50/197,538 = 197,538/x
3. Step 3: Cross multiply
   139,738.50x = 197,538 × 197,538
4. Step 4: Simplify right side
   139,738.50x = 39,021,261,444
5. Step 5: Solve for x
   x = 39,021,261,444/139,738.50
6. Step 6: Final answer
   x = 279,244.89