Finding the Third Proportional to 93,936 and 194,082

Step by Step Solution

1. Step 1: Write the proportion equation
   93,936 : 194,082 = 194,082 : x
2. Step 2: Convert to fraction form
   93,936/194,082 = 194,082/x
3. Step 3: Cross multiply
   93,936x = 194,082 × 194,082
4. Step 4: Simplify right side
   93,936x = 37,667,822,724
5. Step 5: Solve for x
   x = 37,667,822,724/93,936
6. Step 6: Final answer
   x = 400,994.54