Finding the Third Proportional to 91,872 and 194,760

Step by Step Solution

1. Step 1: Write the proportion equation
   91,872 : 194,760 = 194,760 : x
2. Step 2: Convert to fraction form
   91,872/194,760 = 194,760/x
3. Step 3: Cross multiply
   91,872x = 194,760 × 194,760
4. Step 4: Simplify right side
   91,872x = 37,931,457,600
5. Step 5: Solve for x
   x = 37,931,457,600/91,872
6. Step 6: Final answer
   x = 412,872.88