Finding the Third Proportional to 91,686 and 194,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,686 : 194,410.50 = 194,410.50 : x
2. Step 2: Convert to fraction form
   91,686/194,410.50 = 194,410.50/x
3. Step 3: Cross multiply
   91,686x = 194,410.50 × 194,410.50
4. Step 4: Simplify right side
   91,686x = 37,795,442,510.25
5. Step 5: Solve for x
   x = 37,795,442,510.25/91,686
6. Step 6: Final answer
   x = 412,226.98