Finding the Third Proportional to 91,756 and 194,538

Step by Step Solution

1. Step 1: Write the proportion equation
   91,756 : 194,538 = 194,538 : x
2. Step 2: Convert to fraction form
   91,756/194,538 = 194,538/x
3. Step 3: Cross multiply
   91,756x = 194,538 × 194,538
4. Step 4: Simplify right side
   91,756x = 37,845,033,444
5. Step 5: Solve for x
   x = 37,845,033,444/91,756
6. Step 6: Final answer
   x = 412,452.96