Finding the Third Proportional to 91,821 and 194,661

Step by Step Solution

1. Step 1: Write the proportion equation
   91,821 : 194,661 = 194,661 : x
2. Step 2: Convert to fraction form
   91,821/194,661 = 194,661/x
3. Step 3: Cross multiply
   91,821x = 194,661 × 194,661
4. Step 4: Simplify right side
   91,821x = 37,892,904,921
5. Step 5: Solve for x
   x = 37,892,904,921/91,821
6. Step 6: Final answer
   x = 412,682.34