Finding the Third Proportional to 137,362 and 196,059

Step by Step Solution

1. Step 1: Write the proportion equation
   137,362 : 196,059 = 196,059 : x
2. Step 2: Convert to fraction form
   137,362/196,059 = 196,059/x
3. Step 3: Cross multiply
   137,362x = 196,059 × 196,059
4. Step 4: Simplify right side
   137,362x = 38,439,131,481
5. Step 5: Solve for x
   x = 38,439,131,481/137,362
6. Step 6: Final answer
   x = 279,838.18