Finding the Third Proportional to 91,611 and 194,805

Step by Step Solution

1. Step 1: Write the proportion equation
   91,611 : 194,805 = 194,805 : x
2. Step 2: Convert to fraction form
   91,611/194,805 = 194,805/x
3. Step 3: Cross multiply
   91,611x = 194,805 × 194,805
4. Step 4: Simplify right side
   91,611x = 37,948,988,025
5. Step 5: Solve for x
   x = 37,948,988,025/91,611
6. Step 6: Final answer
   x = 414,240.52