Finding the Third Proportional to 91,763 and 194,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,763 : 194,542.50 = 194,542.50 : x
2. Step 2: Convert to fraction form
   91,763/194,542.50 = 194,542.50/x
3. Step 3: Cross multiply
   91,763x = 194,542.50 × 194,542.50
4. Step 4: Simplify right side
   91,763x = 37,846,784,306.25
5. Step 5: Solve for x
   x = 37,846,784,306.25/91,763
6. Step 6: Final answer
   x = 412,440.57