Finding the Third Proportional to 134,082 and 196,740

Step by Step Solution

1. Step 1: Write the proportion equation
   134,082 : 196,740 = 196,740 : x
2. Step 2: Convert to fraction form
   134,082/196,740 = 196,740/x
3. Step 3: Cross multiply
   134,082x = 196,740 × 196,740
4. Step 4: Simplify right side
   134,082x = 38,706,627,600
5. Step 5: Solve for x
   x = 38,706,627,600/134,082
6. Step 6: Final answer
   x = 288,678.78