Finding the Third Proportional to 91,786.50 and 194,583

Step by Step Solution

1. Step 1: Write the proportion equation
   91,786.50 : 194,583 = 194,583 : x
2. Step 2: Convert to fraction form
   91,786.50/194,583 = 194,583/x
3. Step 3: Cross multiply
   91,786.50x = 194,583 × 194,583
4. Step 4: Simplify right side
   91,786.50x = 37,862,543,889
5. Step 5: Solve for x
   x = 37,862,543,889/91,786.50
6. Step 6: Final answer
   x = 412,506.67