Finding the Third Proportional to 139,830 and 197,670

Step by Step Solution

1. Step 1: Write the proportion equation
   139,830 : 197,670 = 197,670 : x
2. Step 2: Convert to fraction form
   139,830/197,670 = 197,670/x
3. Step 3: Cross multiply
   139,830x = 197,670 × 197,670
4. Step 4: Simplify right side
   139,830x = 39,073,428,900
5. Step 5: Solve for x
   x = 39,073,428,900/139,830
6. Step 6: Final answer
   x = 279,435.23