Finding the Third Proportional to 133,916 and 196,082

Step by Step Solution

1. Step 1: Write the proportion equation
   133,916 : 196,082 = 196,082 : x
2. Step 2: Convert to fraction form
   133,916/196,082 = 196,082/x
3. Step 3: Cross multiply
   133,916x = 196,082 × 196,082
4. Step 4: Simplify right side
   133,916x = 38,448,150,724
5. Step 5: Solve for x
   x = 38,448,150,724/133,916
6. Step 6: Final answer
   x = 287,106.48