Finding the Third Proportional to 91,818 and 194,661

Step by Step Solution

1. Step 1: Write the proportion equation
   91,818 : 194,661 = 194,661 : x
2. Step 2: Convert to fraction form
   91,818/194,661 = 194,661/x
3. Step 3: Cross multiply
   91,818x = 194,661 × 194,661
4. Step 4: Simplify right side
   91,818x = 37,892,904,921
5. Step 5: Solve for x
   x = 37,892,904,921/91,818
6. Step 6: Final answer
   x = 412,695.82